{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from __future__ import division\n",
    "from deltasigma import *\n",
    "import warnings\n",
    "from scipy.signal import ss2zpk\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example continuous-time lowpass modulator - dsexample #3\n",
    "========================================================\n",
    "\n",
    "Demonstration of a low-pass, 3rd-order continuous-time delta sigma modulator, in a very similar fashion as as done in the **MATLAB Delta Sigma Toolbox**, albeit employing the Python port of the MATLAB package, **`deltasigma`**.\n",
    "\n",
    "\n",
    " * The **Noise Transfer Function** (NTF) is synthesized for a **3th-order**, **low-pass** modulator.\n",
    " * Time domain simulations are then performed to **extract the SNR**.\n",
    " * The continuous-time NTF is realized and mapped to an **equivalent discrete-time structure**.\n",
    " * The SNQR is again assessed.\n",
    " * The modulator coefficients are then **scaled** and the final results are presented."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##General modulator parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "order = 3\n",
    "osr = 32\n",
    "nlev = 2\n",
    "f0 = 0.\n",
    "Hinf = 1.5\n",
    "tdac = [0, 1]\n",
    "form = 'FB'\n",
    "M = nlev - 1\n",
    "#generic options\n",
    "plotsize = (15, 8) #inches"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Synthesis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t\t\t 3th-Order Continuous-Time Lowpass Example\n",
      "\n",
      "Doing NTF synthesis... done.\n",
      "\n",
      "Synthesized a 3-order NTF, with roots:\n",
      "\n",
      " Zeros:\t\t\t Poles:\n",
      "(1.000000, 0.000000j)\t(0.764515, -0.280052j)\n",
      "(0.997110, 0.075973j)\t(0.764515, 0.280052j)\n",
      "(0.997110, -0.075973j)\t(0.668460, 0.000000j)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print '\\t\\t\\t %dth-Order Continuous-Time Lowpass Example\\n' % order\n",
    "print 'Doing NTF synthesis...',\n",
    "ntf0 = synthesizeNTF(order, osr, 2, Hinf, f0) # 2: Optimized zero placement\n",
    "print 'done.'\n",
    "print \"\\nSynthesized a %d-order NTF, with roots:\\n\" % order\n",
    "print \" Zeros:\\t\\t\\t Poles:\"\n",
    "for z, p in zip(ntf0[0], ntf0[1]):\n",
    "    print \"(%f, %fj)\\t(%f, %fj)\" % (np.real(z), np.imag(z), np.real(p), np.imag(p))\n",
    "print \"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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EBQWRlZVFRkYGUNdD3Zh3332XsrIynn32WeO2kSNH8sknn1BeXg5AXl5eo4vVDB48mK++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\nREREhoEabxERERGRYaDGW0RERERkGPx/zybPVfmIgb8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b325110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=plotsize)\n",
    "plotPZ(ntf0, showlist=True)\n",
    "changeFig(10, 1.5, 7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b325c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FFyEqKvDl+9c9mPX3jyFY5Rf9//FKfaH0vy/f5TZt2vDxxx+Xub9XX32VQYMG\ncdppp/HWW2+VW75/3YNV32+++YapU6fSs2dPsrOzT1of69zZpmj55ZdfZsaMGdUuf8qUKbRu3ZoL\nLrig1O3nzJlDvXr1SEhIIC4ujsmTf8kUe/bZZ+nWrRtxcXHcfPPNVYqnNHIhYJjIyMrj1vfW0L1F\nA+44txdREfJ7R4SmlTsOc9fHP3Dj6B5c0L+t2+EEnIcvBIzCvhBwHLAbWE6YXAh49Kidw3zbbfD7\n37sdjajtunbtysqVK2nWrFmp2zz00EMUFBQwa9asgJZdUFBAZABvRzl9+nTOOussLr/88lPWNWzY\nkMzMzOLlV155he+//57HH3+8WmUuX76cTp06ERcXd9L+faWlpXHBBRewbt26U9YNHTqUJ554gqFD\nh3L++edz0003MXHixErFIBcClqOsXxZuS8/M4Q9vrSKhQxNmTehdIx3mUK5/TfNy3SHw9T+tY1Oe\n/e1gnluyjXdTSh2IDAle/+wrQ2udD9wIfAlsAN4uqcPsNv/P1BiYNs3OY67JDrObf0tule21citb\ndlpaGn369OEPf/gD/fv3Z8KECWRnZ/PZZ5/x2GOP8fTTT3P22Wef8r7Y2FjuvvtuBg0axIgRI0hP\nTyc5OZm0tDTOPvts4uPjGT9+PDt22JcYTJ06lenTpzN8+HBmzpzJtGnTuP766xkxYgTdu3cnOTmZ\nq666ir59+zJt2rQSY01KSmLw4MEMHDiQa665htzcXF544QXeeecdbr/9dqZMmVJufQM1CDt06FDa\ntGlDQUFBpd+7Z88eMjMzGTp0KABXXnklH374YUDiApmnOeT9fPgEM95Zza/j23PlsM5uhyNEhXRp\n3oCnLx3MH99OocAYLh3csfw3iZCntf4c+NztOCrj1Vft+ZfffNPtSIQXbd26lbfffpvnnnuOSy+9\nlPfee4/LL7+c6dOn07BhQ2677bZT3nPixAlGjBjB/fffz1/+8heef/55Ro4cyYwZM5g2bRpXXHEF\ns2fP5qabbuKDDz4AYPfu3SxduhSlFNOmTePIkSMsXbqUjz/+mAsvvJClS5fSt29fhgwZwpo1a4iP\njy8uLzs7m2nTpvHVV1/Ro0cPrrrqKp5++mluvvlmlixZQteuXfnb3/52SpxZWVkkJCQULx86dOik\nNIkiycnJ3Hrrrae83qBBAxYvXlyl4wrw008/kZCQQOPGjbn//vs588wz2bVrFx06dCjepn379uza\ntavKZfijUAtDAAAgAElEQVSTTrMjFHMbt+4/xox3VjP9zG5MHtiuRssKxfoHi5frDjVX/w5N6vHM\nbxO4/u0UCgoNvzu9U42UUx1e/+xrI9/PdPt2+POfYcECqFs3eOUGm1tle63cqpTdtWtXBg4cCMBp\np51GWlpa8brSRmbr1KnDpEmTit8zf/58Zs2aRWJiYvGo6ZQpU5g5cyZgX1OSmJiI8pl2tigfuH//\n/rRp04Z+/foB0K9fP9LS0k7qNG/evJmuXbvSw5l78aqrruLJJ5/k5ptvLn5PSerVq0dKSkrxclF6\nhr8xY8actF1FlZVm0q5dO3bs2EHTpk1ZtWoVF110EevXr690GZUlneYQtf3QCW56dzW3jo3j3D5y\nxzURnto1rsezvx3sdJzhiqGh13EWtZMx9l3+br3Vno9ZCDfU9fm1FhkZSVZWVvGyUorCwkIGDx6M\nUorJkydz7733Eh0dXbxNREQE+fm/zIFfWke7fv36Jy3XqVOn+P2+MfjvrygOX1VNsyjtfQsXLixx\nRL1+/fosWbKkSmXVqVOnuI6DBw+me/fubNmyhfbt27Nz5y9pgTt37qR9+8DNjCk5zY5Qym3cfSSL\nG99JYfqZ3YLWYQ6l+gebl+sONV//No1ieOa3CXywZhcvL0ur0bIqy+uffW1U9Jl+8skvI83BLNcN\nXsstrg3H2hiDMYaIiAhWr15NSkoK9957b5nlnnHGGcyZMweAN954g1GjRgUklp49e5KWlkZqaioA\nr7322kkj6j/88EO19j927FhSUlJOeZTXYS4rp/nAgQPF67dt28aWLVvo1q0bbdu2pVGjRixbtgxj\nDK+99hoXXXRRteL3JZ3mELP/WA436NVMGdKJCwfUbEqGEMHSumEMz142mE9/2Mury7a7HY6o5bKz\n7RHmxx4DZzBKiKDxHbn1H8UtWlZKnbKutPcXLT/++OPMnj2b+Ph43njjDR577LFyyylvHUBMTAyz\nZ88mMTGRgQMHEhUVxfTp00vdvqz9lrZtZcycOZOOHTuSk5NDx44due+++wD45JNPuOeeewD4+uuv\niY+PJyEhgcTERJ599lmaNGkCwFNPPcW1115LXFwcPXr0qPTMGWWRKedCyOETuVw3J4Xz+7Vm6rAu\nbocjRMClZ+Zw7ZsruW5kVyaF6XR0Xp1yrjLcbn//+U9YuhQCeNG8EMJDSmvnJac5RGRm5zHjndWM\njWshHWZRa7VqWJfHfhPP9DmraNqgDmd0be52SKKWOXIE/vMfqMZF+UIIUSJJz3C4mSOVk1/Are+v\nJaFjE6af2c2VGLyc2+nlukPw69+1eQP+NXkA9362gQ17jwa1bH9e/+xro1tu+YnzzoNevYJbbm3I\ns5VyQ7dsqXNokE6zy4wx3P/FJlrG1uXWsXEByQcSItTFd2jCrHN786f317Lz8Am3wxG1REYGvP9+\nB/76V7cjEULURtJpdrg17+Ps77az/fAJ7jmvDxEudpi9PF+tl+sO7tV/dFxLfn9GV256dw2Hjue6\nEoPXP/va5vHH4ZJLoomLC37Z4TR3sJQb/LKzsrKYNGkSffr0oX///tx5551BKbe6vvnmG2644QYG\nDx5Mdnb2SetiY2NPWn755ZeZMWNGtcucNWsWnTp1Kp5ruiTLly8nISGBhIQEBg4cyNtvv128bvbs\n2QwYMID4+HjOO+88Dh48WO2Yikin2UVJm9N5f80uHr54IDHRgbtXvBDh4pJB7Tm3T2tufX8NOfmV\nv2WqEEWys+HJJ+H2292ORIiSzZw5k40bNxZPt/bFF18EvIyq3Hq6LG+88QZ33XUXq1atIiYm5qR1\n5c3KUVWTJ09m+fLlZW4zYMAAVq5cSUpKCvPmzeOGG26goKCA3Nxc/vznP/P111+zZs0aBg4cyBNP\nPBGQuEA6zcWCnTuzYe9RHpq/mf9ePJAWsTV8q6oKCMXcoWDxct3B/fpfN7Ir7RrX418LfqzypPpV\n5XbdReC89RYMGgTp6cmulC85p7W/3OqUXa9ePUaPHg1AdHQ0gwcPLvX2zrGxsdx9990MGjSIESNG\nkJ6eTnJyMmlpaZx99tnEx8czfvx4duzYAcDUqVOZPn06w4cPZ+bMmUybNo3rr7+eESNG0L17d5KT\nk7nqqqvo27cv06ZNK7HMpKQkBg8ezMCBA7nmmmvIzc3lhRde4J133uH2229nypQp5dYxUO330KFD\nadOmTZk/AOrVq0dEhN2FzcrKonHjxkRGRhIVFUXTpk05duwYxhiOHj0qNzcJd+mZOdz+wTruPLcX\nvVo3dDscIVyllOKvE3uzbvdRPli72+1wRBgyBh55xJ6bWYhQl5GRwSeffEJp0zKeOHGCESNGsHr1\nakaNGsXzzz8PwIwZM5g2bRpr1qzh8ssv56abbip+z+7du1m6dCn//e9/AThy5AhLly7lkUce4cIL\nL2TmzJmsX7+edevWsWbNmpPKy87OZtq0aWitWbt2Lfn5+Tz99NNce+21XHjhhUyfPp3XX3/9lDiz\nsrKKUyQSEhK45557ShxtTk5OPmm7oseZZ55Z5WMIdopGv3796NevHw8//DBg3/Hwscceo3///rRv\n356NGzdy9dVXV6uckxTdlaa2PRYsWGBCUXZevrnileXmpaU/uR2KECEl7eBxc84Ti8y6XRluh1Im\np21xvY0L5Uew298FC4zp29eYwsKgFitEpeXl5ZmJEyeaxx57rNRt6tatW/z87bffNtdee60xxpgW\nLVqY/Px8Y4wxubm5pkWLFsYYY6ZOnWpeffXV4vdMnTrVvPnmm8YYY1JTU01cXFzxuiuvvNJ8+OGH\nJ5W3evVqM2rUqOLlpKQkc8kllxTv69133y0xztjY2JOWX375ZXPjjTeWWq/K8t9/aTZu3Gg6d+5s\njhw5Yo4cOWK6detmtm3bZowx5sYbbzT3339/pcsurZ2XkeYg+19yKm0bxzB1WGe3QxEipHRuVp9Z\n5/bmjo9/cO3CQBGenn0WbrgBZPIhEer+8Ic/0KtXr+JR4oKCguKR16LbaEdHRxdvHxERQX5+fvGy\nMSWnQNSvX/+k5TrOrTAjIiKoW/eXFFD//cGpucillVGe0t63cOHCEkeaR44cWaVy/PXu3Zvu3buz\nZcsWNm7cSNeuXenatSsAiYmJfPvttwEpByQ9o1gwcqQW/rifxdsOcPeE3iE3tZyXczu9XHcIrfqP\njmvJpH5tuOuTH8gvLKzx8kKp7qJq9u+HefPgd7+zlyXPVsoN1bLvvvtujh49yiOPPFL8WmRkJCkp\nKaSkpBR3mksr94wzzmDOnDmAfYHeqFGjqhyLr549e5KWlkZqaioAr7322kmzdfzwww/V2v/YsWOL\n6+j7WLJkSZnvKyunOS0trbjzv337drZs2UJcXBzdunVj06ZNHDhwAID58+fTt2/fasXvSzrNQbLn\nSBb/mL+J+3/Vj4Yx0eW/QQiP+sPIbkRHRvDkom1uhyLCwGuvweTJ0KSJ25EIUbqdO3fy4IMPsnHj\nRgYPHkxCQgIvvfRSidv6DqoppYqXH3/8cWbPnk18fDxvvPEGjz32WInvKWkfpa0DiImJYfbs2SQm\nJjJw4ECioqKYPn16qduXtd9ADAjOnDmTjh07kpOTQ8eOHbnvvvsA+OSTT7jnnnsAWLx4MYMGDSIh\nIYHExESee+45GjVqRMuWLXnwwQcZO3Ys8fHxrF27lrvuuqvaMRVRVR2GD3VJSUmmtCT7YMsvKOS6\nOSmM7tGCKyUtQ4hyZWTlcfkry/nbxD4M69LM7XBOkpSUxLhx40LrVFGICVb7awz07w9PPw0BGnQT\nQohS23kZaQ6C5779ifp1IpkytJPboQgRFprUi+avE3rz9y82kpmd53Y4IkR99x3k5cFZZ7kdiRDC\nC6TT7KipHKllaYf49Ic9/N/5fV294195vJzb6eW6Q+jWf3jX5pzVvQX/SdpSY2WEat1FxbzxBlx5\n5ckXAEqerZRbG8uWOocG6TTXoGM5+dz3xUbuOa8vzRrUcTscIcLOTaN78MOeI3y1Od3tUESIyc+H\nd96B3/7W7UiEEF4hOc016KF5myk0hrsm9HY1DiHC2brdR/jzB+t446ohIXH3zNqc02xZViJwL9Ab\nGKK1XuWz7k7gaqAAuElrPa+0/QSj/Z03D+6+G8q5264QQlSa5DQH2aodh/km9QAzRnd3OxQhwtqA\ndo25aGBbHpi3qcrzh4oKWwdcDCzyfdGyrL7ApUBfYCLwlGVZrn5/vPUWXHaZmxEIIbxGOs2OQObO\n5OQX8MCXm7l9fM+wmV4uFHOHgsXLdYfwqP+1Z3QlPTOHT9fvDeh+w6HuwaS13qS1/rGEVZOBt7TW\neVrrNGArMDSowfnIzoaPPgLLOnWdF/MvvVZnOdbeKDsU2+cotwMoYlnWROBRIBJ4QWv9T7/1Y4CP\ngKLJW9/TWt8f1CAr6MWlacS1bMCYuJZuhyJErRAdGcGsCb259b21jO7RgkZh8mO0FmkHfOezvBNo\n71IszJsHAwZAe9ciEEJ4UUh0mi3LigSeAMYDu4AVlmV9rLXe6Lfp11rrC2siBt+731THj+mZfLh2\nN29e5dogTJUEqv7hyMt1h/Cpf982jRgT14JnFm9j5vheAdlnuNQ9kCzLmg+0KWHVXVrrTyqxK9dy\nZT76CC6+uOR1bn2mbv4tea3Ocqy9UXYots8h0WnGPs231Tnth2VZc7BPB/p3mkP64puCQsP9X27i\nxlHdQ+KCJSFqm+vP6s6lL33H5AHt6NW6odvhhCWt9TlVeNsuoKPPcgfntVIlJycXf+kVnWYNxHJB\nAXzwQS7jx68Chgd8/7Isy7Isy6Uyxrj+SExM/E1iYuLzPstTEhMTH/fbZnRiYuLBxMTENYmJiZ8l\nJib2LWufCxYsMJWxcOHCSm1fkg/W7DK/f/N7U1hYWO19BVsg6h+uvFx3Y8Kv/u+v3mmufv17UxCA\n/2dVqbvTtrjebtbkIzExcWFiYuJpPst9ExMTVycmJtZJTEzsmpiYmJqYmKhKe39l29/KWLzYmAED\nSl/v1t+zm/+PvFZnOdbeKNvNOpfWzofKhYAVOc23CuiotY4HHgc+rNmQKudEbj7PLt7GLWPjAnLv\ndSFEySYPbEd+YSFzA3xRoADLsi62LGsH9hDuXMuyPgfQWm8ANLAB+Bz4o9balfSMjz6CyZPdKFkI\n4XUhMU+zZVnDgXu11hOd5TuBQv+LAf3e8xNwmtb6UEnrk5KSTGRkZNCG8+984ysOZsNz15wdlPJk\nWZa9vPzapwuZvdXw0fSzaBgTHdTya/M8zYFSU/M0GwO9esGbb8Lppwd890IIAZQ+T3OodJqjgM3A\nOGA3sBy4zPdCQMuyWgPpWmtjWdZQQGutu5S2z2De3CQ9M4ffvbyM168aSptGMUEpUwive+DLTdSP\njuTWs+OCWq50mstXU+3v5s0wbhzs2HHyrbOFECKQQvrmJlrrfOBG4Evs039va603WpZ1nWVZ1zmb\n/QZYZ1nWauyp6QJ689SikaSqeGbxNi6Kbx/WHebq1D/cebnuEL71v25kVz5dv4f0zJwq7yNc6+5V\nX3wBEyeW3WF26zN182/Ja3WWY+2NskOxfQ6V2TPQWn+OnSvn+9qzPs+fBJ4Mdlzl+TE9kyXbDvLe\ntcPdDkUIT2kRW5fJA9rx0ndp3HFOYKagE6Ft3jyYOtXtKIQQXhUS6Rk1IVjpGTfoFMbEtSQxoUON\nlyWEOFnGiVx+8+J3vHLFENo3qReUMiU9o3w10f7m5EDLlpCWBs2aBXTXQghxkpBOzwhXKTsz2JWR\nxcUD27kdihCe1KR+HX6d0IEXl6a5HYqoYUuWQN++0mEWQrhHOs2OquTOzP4ujauGdSYqMvwPYyjm\nDgWLl+sO4V//Kad3ZFHqAbYfOlHp94Z73b1k3jw499zyt/Ni/qXX6izH2htlh2L7HP69PZds2pdJ\n6v7jTOrX1u1QhPC0hjHR/O60jjz/7U9uhyJq0JdfwoQJbkchhPAyyWmuojs+WsfA9o353emdaqwM\nIUTFHM/N55Lnl/L0pYPp1qJBjZYlOc3lC3T7m54OPXvC/v0QHR2w3QohRIkkpzmA0g4dZ9XODC6S\nXGYhQkKDOlH8JqEDb63c4XYoogYsWgQjR0qHWQjhLuk0OyqTO/Pqsp9JTOhA/TohM2NftYVi7lCw\neLnuUHvq/+v49iRtTifjRG6F31Nb6l7bLVoEo0dXbFsv5l96rc5yrL1Rdii2z9JprqS9R7P5eut+\nLJliToiQ0qxBHcbEteSDtbvdDkUE2KJFMGqU21EIIbxOcpor6dGFWwC4ZWxwb90rhCjfj+mZ3PLe\nGj76wxlE19CsNpLTXL5Atr+HD0OnTnDokKRnCCGCQ3KaAyAnv4DPNuzl14Paux2KEKIEPVs1pHOz\n+izYnO52KCJAFi+G4cOlwyyEcJ90mh0VyZ1J3rKfuJaxdGxav+YDCrJQzB0KFi/XHWpf/S87rRNv\nrdxBRc6i1ba610aVTc3wYv6l1+osx9obZYdi+yyd5kp4f81uLo6XUWYhQtmZ3ZuTmZ3Pml1H3A5F\nBMDXX0s+sxAiNEhOcwWlHTrOdW+l8On0msuVFEIExhsrfmbL/mPce37fgO9bcprLF6j29/hxaNUK\nDh6EmJgABCaEEBUgOc3V9MGa3fyqfxvpMAsRBib0ac2irQfIzitwOxRRDStXQv/+0mEWQoQG6QE6\nysqdyckv4LP1e7m4Ft/MJBRzh4LFy3WH2ln/FrF16d+uEclb9pe5XW2se22yfDkMG1a593gx/9Jr\ndZZj7Y2yQ7F9lk5zBSRv2U/PVrF0qIUXAApRW53ftw2fbdjrdhiiGpYtg6FD3Y5CCCFsktNcAX/6\nYC3jerbk/H5tA7I/IUTNy84r4Pynl6CvHkaL2LoB26/kNJcvUO1v586wYAHEybT4QoggkpzmKjqW\nk8/Knw8zqkdLt0MRQlRCTHQko3q04MuN+9wORVTB3r2QmQk9ergdiRBC2KTT7Cgtd2bJtgMkdGhC\nbN2o4AYUZKGYOxQsXq471O76T+pXdopGba57VViW9W/LsjZalrXGsqz3Lctq7LPuTsuytliWtcmy\nrHNrOpbly+3UDFXJMX0v5l96rc5yrL1Rdii2z9JpLkfS5v2c3auV22EIIargtE5NycjKY9uB426H\nEi7mAf201vHAj8CdAJZl9QUuBfoCE4GnLMuq0e+PZcsqfxGgEELUJOk0O8aMGXPKaydy81m+/RCj\nurcIfkBBVlL9vcLLdYfaXf8IpRjdowXfpB4ocX1trntVaK3na60LncVlQAfn+WTgLa11ntY6DdgK\n1OglekUjzZXl1mfq5t+S1+osx9obZYdi+yyd5jIs2XaQAe0a07hetNuhCFHrzJ0LGRknv5aRYb8e\nSCO7tWDJtpI7zaJMVwOfOc/bATt91u0Eauz2qMbAihUyc4YQIrRIp9lRUu7MVz/uZ5xHUjNCMXco\nWLxcd3Cv/iNHwqxZv3ScMzLs5ZEjA1vOaR2b8GP6MY5k5Z2yzoufvWVZ8y3LWlfC4wKfbWYBuVrr\nN8vYVY1NvZSWBrGx0LIK1197Mf/Sa3WWY+2NskOxfa7dV7dVQ15BIUt/OsjM8T3dDkWIWqlJE3jg\nAbujfPvt8O9/28tNmgS2nJjoSBI6NuG7tINM6NMmsDsPQ1rrc8pab1nWVOB8wHfOuF1AR5/lDs5r\npUpOTi4+vVr05VfR5ddf/4GOHdsCzav0fjeWV69e7Vr5q1evdqX+RbxSX/n7Cm75Rdw6/iWReZpL\nsWrHYR5N3sqrVwwJYFRCCH9padC1K/z0E3TpUjNlvLd6F6t3ZvD3X/Wr9r5q8zzNlmVNBP4LjNZa\nH/B5vS/wJnYec3tgAdBDa13iF0h1299774X8fLj//irvQgghqkzmaa6k738+zJBOTd0OQ4haLSPD\nHmH+6Sf7X/8c50AZ2a05S9MOUVBYOwcJAuhxIBaYb1lWimVZTwForTcAGtgAfA78sbQOcyCsXg3x\n8TW1dyGEqBrpNDv8h+NXbPdWp7ms0xG1nZfrDu7VvyiH+YEH7BHmolSNmug4t2kUQ6vYuvyw+8hJ\nr3v9s/entY7TWnfWWic4jz/6rHtQa91Da91ba/1lTcaxejUMGlS197r1mbr5t+S1Osux9kbZodg+\nS6e5BFm5BWxOP0Z8+wAnVwohii1ZcnIOc1GO85IlNVPeiK7N+C7tUM3sXARMRgYcPAjdu7sdiRBC\nnExymkuw9KeDzP5uO89dNjjAUQkh3PJN6gHmrNzBk1ZCtfZTm3OaA6U67e/XX8Ndd9XcjychhCiP\n5DRXgtdSM4TwggFtG7F+z1HJaw5xks8shAhV0ml2+ObOfP/zYYZ09lanORRzh4LFy3UH79S/Sf06\ntIitS+qBY8WveaXu4WTDBujfv+rv92L+pdfqLMfaG2WHYvssnWY/J3Lz+enQcfq1beR2KEKIABvY\nrjFrdx0pf0Phmg0boE8ft6MQQohTSU6znzU7M3h44RZekfmZhah1Ply7m1U7DnPfpKrP1yw5zeWr\navtrDLRoYXecW7eugcCEEKICJKe5gjanH6NXq4ZuhyGEqAED2jVi3e6jbochSrF/v91xbtXK7UiE\nEOJU0ml2FOXObE7PpFdr73WaQzF3KFi8XHfwVv27Nm/Akaw8Dh7PBbxV93CwcSP07QuqGuP4Xsy/\n9Fqd5Vh7o+xQbJ+j3A4g1Gzal8kl8e3dDkMIUQMilKJPm4Zs2neUkd1auB1OtVmW1RoYCWzUWm90\nO57qknxmIUQok5xmH7n5hZz9+CIW3HgWMdGRNRSZEMJN/0n6kTaNYpgypFOV3u9WTrNlWR2wb3Pd\nF1gK/Af4GigAmgJXaq3fCnZcJalqTvNNN9l3h7zttsDHJIQQFSU5zRWw7eBx2jepJx1mIWqxrs0b\nkHbwuNthVMUzwCHgVkABXwDXaq1bAb8B7nQxtoDYsMFOzxBCiFAknWZHcnIym/dl0tujFwGGYu5Q\nsHi57uC9+ndpXp+fDp4Awq7uZwB/1Fp/BlwPtAI+dNZ9DHRxKa6A2bix+ukZXsy/9Fqd5Vh7o+xQ\nbJ+l0+xj24HjdG/RwO0whBA1qGuzBqQdOk4YpqZFa61zALTWJ4DjWmvjLBvs0eewlZkJhw9Dx45u\nRyKEECWTCwEdY8aMYe4HaxnYvrHbobhizJgxbofgGi/XHbxX/6b1o1HAoRN54Vb3SMuyznaeKyDK\nbzms88pSU6FbN4io5lCOW5+pm39LXquzHGtvlB2K7bN0mn3sOpJNu8YxbochhKhBSim6OHnNzRvU\ncTucykgHXvRZPui3vC+44QRWaip07+52FEIIUTpJz3AkJyez52g2bRvXczsUV4Ri7lCweLnu4M36\nd2lWn58OHg+rumutu2itu/o8/Je7uh1jdQSq0+zF/Euv1VmOtTfKDsX2WTrNjhP5BmMMjWNk8F2I\n2q5j0/rsOpLtdhjCh4w0CyFCnfQQHd0GnE67nRtR1bkVVRgLxdyhYPFy3cGb9W/RoA5b9x9jzK/G\nuB1KhViWtcPvpZIu/DNa66pNPh0CUlPh4ourvx8v5l96rc5yrL1Rdih+N0mn2bH7SJbkMwvhEc0b\n1Cm+lXaYuMLn+RDgKuAx4GegEzADeNWFuAJm2zYZaRZChDZJz3B8s2o9bT3caQ7F3KFg8XLdwZv1\nbxFblwPHc8Om7lrr5KIHMBWYqLV+Xmv9pdb6eeB85/WwlJcHu3ZB587V35cX8y+9Vmc51t4oOxTb\n5wqNNFuWNQ77dKC/HGCn1np7QKNywZFcQ7dY73aahfCSVd+uJG1PNrf873Nat17ATTedy6RJo9wO\nq6LaAsf8XjsGtK/uji3L+jtwIXZ7fxCYqrXe4ay7E7ga+7bdN2mt51W3vCLbt0O7dlAnrCYzEUJ4\nTUXTM14E2vFLQ9ocO58uHWhtWdZa4Lda6y01EmUQNGnZlkYevggwFHOHgsXLdQfv1X/u3EXc9ad5\nNL5mPGt/eBizJoLU1FkA4dJx/hj4yLKsB4Ad2OkZdzqvV9e/tNZ/BbAsawZwD3CtZVl9gUuBvtid\n8wWWZfXUWhcGoMyAXgToxfxLr9VZjrU3yg7F76aKpme8gJ0/10Rr3Q5oAjwCPAM0BVYAT9VIhEGS\nmZNPw7re7TQL4RX/+988UlMfIP9YHaIb2nnNqakP8Pjj812OrMKuB5YCTwOrnH+/A6ZXd8da60yf\nxVjggPN8MvCW1jpPa50GbAWGVre8IjJzhhAiHFS003wLcJfWOgvA+fevwC1a62PAn7AvTglbO/bu\np6GHR5pDMXcoWLxcd/Be/XNy7P/neZm/dJoBsrPD44Z6WussrfUdWuvuWut6WutuznJWIPZvWdYD\nlmX9jJ0j/Q/n5XbATp/NdhKAdJAi27bZdwMMBC/mX3qtznKsvVF2KH43VbSXeBy7U/ytz2unOa+D\nnbZRUs5z2MgqgIYx0W6HIYSoYXXr5gOQfyKaqAa/dJpjYgrcCimoLMuaD7QpYdVdWutPtNazgFmW\nZd0BPApMK2VXAWvzf/4ZTj89UHsTQoiaUdFO81+BLy3L+hh7hKEDcAH2NEcA44B3Ax9eEEXHEOvh\n9IxQzB0KFi/XHbxX/5tuOpfU1FkU5l2KirJTcrt3v4sZMya6HFlwaK3PqeCmbwKfOc93AR191nVw\nXitVcnJy8d9W0YhRacvr1x/hrLNSgcEV2r6s5TFjxlTr/dVZ9q17MMsvei3Y9XVr2c36yt+X+59/\nsI+3L2VMxQYLnAtBfoN9mm438J7Wen2F3uyCpKQkM27cuApvf/b/FvHB70fQuJ6MNgtR282du4gH\nv9qF2nOI2EN7mTHjnApfBJiUlMS4ceNq5V2QLMuKK7qg27kQcKjW+gqn/X8TO4+5PbAA6KG1LvEL\npLLtb4cO8O230Clsb80ihKhNSmvnKzy0qrXeANwX0Kh8WJY1EftUYCTwgtb6nyVs8z/gPOAE9lRI\nKR0p9/IAACAASURBVIEou9AYjufke3qk2fdXpNd4ue7gzfpPmjSK7yM2UO/YPmYm3uB2OKHkH5Zl\n9cKeVi4V+6JDtNYbLMvSwAYgH/hjaR3mysrLg/R0e8q5QHDr79nN/0deq7Mca2+UHYrfTRXuJVqW\nNRkYzS/TzQGgtb6yukFYlhUJPAGMxz7lt8KyrI+11ht9tjkfe2QjzrKsYdhXjA+vbtkAufmFRCiI\njKiVg0dCiBLUjYwkP6yvxAg8rfVvylj3IPBgoMvcvRtatYIo745ZCCHCREVvbnIP9ojDHMDCnmru\nd8DbAYpjKLDVmcoIy7LmYE9xtNFnmwuBVwC01sssy2piWVZrrfW+QAQQGentmyOG2q+5YPJy3SFw\n9Z87F0aOhCZNfnktIwOWLIFJkwJSRMDMnbuITz/fhjmex9cvJoX8zU0sy6rsfMhGax0W04Hs2AEd\nO5a/XUW59f/ZzXbEa3WWY+2NskPxu7miv+2vAc7RWq+zLGuq1vpWy7Lewr5AMBDaY0/SX2QnMKwC\n23QAAtJpFkJUz8iRMGsWPPCA3XHOyPhlOZTMnbuIm2/+kuy4qynIiWTvwi4hf3MTrXWt/VUf6E6z\nEELUlIo2xI211uuc57mWZdXRWi/HTtcIhIqeJPXPnwjYydXCwoDc2CpslXW1aG3n5bpD4OrfpInd\nQZ41C9LSTu5Ah5Kim5tEN8ylXlv7btRhdnOTWiXQnWa3/j+72Y54rc5yrL1Rdih+N1d0pHmbZVn9\nnNky1gPXW5Z1GDgUoDj8pzPqyMkT6Ze0TUCnPCosLPTklCpFy6tXrw6peGQ5fJdvvx26doW33vqO\nJk2Gux6P/3LRzU3qdzh60s1N9u795WZ45e3PLZZlRQMjgHjsO7MeBtYA32mt89yMrap27JC7AQoh\nwkOFppyzLGsScExr/bVzEd6b2LdY/aPW+r3qBmFZVhSwGXu+593AcuCyEi4EvFFrfb5lWcOBR7XW\npV4IWJkpj7LzChj/xDcsvnVMNWohhChKybj9dvj3v0NzpHnChLuZN+9+2p27DVOo2LOgq/P6X/ni\ni7+X+343ppyzLKsFcAdwFXZHeSOQCTQE+gDNgJeBh7TWB0rZTdBUpv29+GKYMgV+/esaDkoIISqo\nWlPOaa3n+jxfBgR0XEBrnW9Z1o3Al9hTzr2otd5oWdZ1zvpntdafWZZ1vmVZW7HvRFjaXaqEEC7w\nzWH2TdUItY5z0c1NcqKmkX/cnpc9DG5u8g3wEpCgtfY/C4dlWe2xL87+BrsTHTb27IG2bd2OQggh\nyleZKefqAz2wR5iLaa2/DUQgWuvPgc/9XnvWb/nGQJRVEslpDr35EIPFy3WHwNV/yZKTO8hFHedQ\nmz2j6GK/h778luP7DhM/4QAzZkwM2YsAHaO11umlrdRa7wL+7cxlH1b27oU2Jd3Uu4rc+v/sZjvi\ntTrLsfZG2aH43VzRKeeuxJ5HORfI8lsd9tc9RyhFgQFjDErJXM1CVEVJHeMmTUKrw1xk0qRRpES1\nJOrIXu6wxrodTkVsBRoBWJa1QGs9vqSNtNY5QY2qmoyBffugdWu3IxFCiPJVdKT538Cvtda18vLy\nOlERREdGkJNfSEx0WExtGnCh9msumLxcd/Bu/XPzC0no29vtMCoqy7Ks/ti5zMMsyypx5iOtdVid\nMsvMtG9q0qBB4Pbp1t+zm/+PvFZnOdbeKDsUv5sq2mnOAZJrMA7XxdaNIjMn37OdZiG8Jje/kLrh\n8//9XuwLpGOc5fwStjHY14SEjb17ZZRZCBE+KjpP8z3Aw5ZltazJYNwUWZDL0eywnLEpIIqm1PIi\nL9cdvFn/uXMXsWjJRm6/7UUmTLibuXMXuR1SmbTWTwONgc7ACaAr0M3vEXYTt+3bF9h8ZvDmnLJe\nq7Mca2+UHYrfTRUdad4M/B24wbIs39fD5lat5akXCceySxq8EULUJkV3BIwa/2t2bx7P6tRmIX9H\nQABnHuYdlmUN1lpvdzueQJCRZiFEOKnoSPOrwGzsCfV7+jx61VBcQde+VXMyc7zbaQ7F3KFg8XLd\nwXv1L7ojYFTDXPIy6wKhf0dAy7JutiyrLoDW+sdStomxLOvm4EZWPTUx0uzF/Euv1VmOtTfKDsXv\npoqONDcH/qa1Dthtq0NNw5goT3eahfCKojsCRjfMIS+zTvHr2dkhfdKsDZBqWdZc4Gvss39FNzfp\nBYwGzsce4AgbMtIshAgnFR1png1cWZOBuO3owX1kejg9IxRzh4LFy3UH79W/bt18IqILiIgyFGT9\nMm4QE1PgYlRl01rfCSRgTz13Lfac9j8An2Hf6GkTMEhrPcu1IKtAcprDu2yvletm2VLn0FDRkeZh\nwAzLsmYB+3xeN1rr0E0CrIQGUfx/e3ceH1V9NX7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CwBNPPJElS5bU+9jAgQOZP3/+N9Z3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x100735290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=plotsize)\n",
    "DocumentNTF(ntf0, osr, f0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##Time-domain NTF simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Doing time-domain simulations...\n"
     ]
    },
    {
     "data": {
      "image/png": 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xV1xxRaqbJwjtyj+2b+e2DRvQDnjpq6IiSk46iYHZ2SltR73XS4ZSpDskJCjV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\n5SlnMiFDmXSBJY+3ao6zeRx6IwCHXDFzlzieq+iBPI++5N6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rksQzz6zn0EHrVFCMtGJd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NjOf/sruO46+NrB43znqpLsujpvIasuSPL6ny3Fas4Q/PsOkOBTNdU83tPDovx8rqms5NOHD+OG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zY/zJM49jAN9acgWb+toAaGmB8fEiP5iN6EiUuxbew6v+I0bTQIBTXxmAWxcD8Ip3j/Gjlz/A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\nmpDFnCRJkiQ1of8P5TPMK+loaRUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d7becd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print 'Doing time-domain simulations...'\n",
    "figure(figsize=plotsize)\n",
    "PlotExampleSpectrum(ntf0, M, osr, f0)\n",
    "title('Example Spectrum');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##Signal to Noise Ratio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we have a two level quantizer, we run the prediction routine `predictSNR`, which employs the describing function method of Ardalan and Paulos.\n",
    "\n",
    "Otherwise, we skip the prediction step and we move directly to time simulation of the NTF, to evaluate the SNR."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "if nlev == 2:\n",
    "    snr_pred, amp_pred, k0, k1, se = predictSNR(ntf0, osr)\n",
    "snr, amp = simulateSNR(ntf0, osr, None, f0, nlev)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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at27NBx98wJ49e+jUqRPPP/+8Qx6fM+NZ1O2bV+2vKlberTwRERFU8qxkK7UN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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d97ea50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=plotsize)\n",
    "if nlev == 2:\n",
    "    plot(amp_pred, snr_pred, '-', label='Predicted')\n",
    "    hold(True)\n",
    "plot(amp, snr,'o-.g', label='simulated')\n",
    "#figureMagic(np.array([- 100,0]).reshape(1,-1),10,2,np.array([0,100]).reshape(1,-1),10,2,np.array([7,3]).reshape(1,-1),'Discrete-Time Simulation')\n",
    "xlabel('Input Level (dBFS)')\n",
    "ylabel('SQNR (dB)')\n",
    "peak_snr, peak_amp = peakSNR(snr, amp)\n",
    "msg = 'peak SQNR = %4.1fdB  \\n@ amp = %4.1fdB  ' % (peak_snr, peak_amp)\n",
    "text(peak_amp-10, peak_snr, msg, horizontalalignment='right', verticalalignment='center');\n",
    "msg = 'OSR = %d ' % osr\n",
    "text(-2, 5, msg, horizontalalignment='right');\n",
    "hold(False)\n",
    "figureMagic([-80, 0], 10, None, [0, 80], 10, None, [12, 6], 'Time-Domain Simulations')\n",
    "legend(loc=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Realize the NTF and map it to an equivalent discrete-time structure\n",
    "\n",
    "Performed in two steps:\n",
    "\n",
    " * We call `realizeNTF_ct` to realize an NTF with a continuous-time loop filter, obtaining ABCD matrix and DAC timings. \n",
    "\n",
    " * We map the synthesized NTF to a discrete-time equivalent. The criterion for equivalence is set in `mapCtoD`: the sampled pulse response of the CT system must be identical to the impulse response of the DT system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mapping  to continuous-time...  done.\n",
      "ABCD matrix:\n",
      "[[ 0.          0.          0.          0.04440879 -0.04440879]\n",
      " [ 1.          0.         -0.00578297  0.         -0.23997612]\n",
      " [ 0.          1.          0.          0.         -0.67004645]\n",
      " [ 0.          0.          1.          0.          0.        ]]\n",
      "DAC timing (tdac2):\n",
      "[[-1. -1.]\n",
      " [ 0.  1.]]\n"
     ]
    }
   ],
   "source": [
    "print 'Mapping  to continuous-time... ',\n",
    "ABCDc, tdac2 = realizeNTF_ct(ntf0, form, tdac)\n",
    "Ac, Bc, Cc, Dc = partitionABCD(ABCDc)\n",
    "sys_c = []\n",
    "for i in range(Bc.shape[1]):\n",
    "    sys_c.append(ss2zpk(Ac, Bc, Cc, Dc, input=i))\n",
    "print 'done.'\n",
    "print 'ABCD matrix:'\n",
    "print ABCDc\n",
    "print \"DAC timing (tdac2):\"\n",
    "print tdac2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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ufHxTmT/ndhwVQNB99sXNsqwkSfVK6PAxsrtR1pL9SIyPdOyDzV1Vnls/AZQMp10WN8ru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\n2IRCBgAAAAA2+f+k+VUuDjAZGwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10df1fc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=plotsize)\n",
    "n_imp = 10\n",
    "y = -impL1(ntf0, n_imp)\n",
    "lollipop(np.arange(n_imp + 1), y)\n",
    "hold(True)\n",
    "grid(True)\n",
    "dt = 1./16\n",
    "tppulse = np.vstack((np.zeros((1, 2)), tdac2[1:, :])).tolist()\n",
    "yy = -pulse(sys_c, tppulse, dt, n_imp).squeeze()\n",
    "t = np.linspace(0, n_imp + dt, 10/dt + 1)\n",
    "plot(t, yy, 'g', label='continuous-time')\n",
    "legend()\n",
    "title('Loop filter pulse/impulse responses (negated)');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10df01d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MzyAtJZ309Awunr3I8f3HOXvoBEnHTpNy/DQZZxLJOpeIunABy/lEgs6dwT/lIukVK5F2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\njmbq1KmEhoZStWpV3nnnHbp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UNG1LPksfu31GA+m6rs8q5FROu/VSQgJUqABVq5b8WG+q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\nREREjQTNERERERE1/gOu+v0MTJLHnQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dca5c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sys_d, Gp = mapCtoD(ABCDc, tdac2)\n",
    "ABCD = np.vstack((\n",
    "                  np.hstack((sys_d[0], sys_d[1])),\n",
    "                  np.hstack((sys_d[2], sys_d[3]))\n",
    "                ))\n",
    "ntf, G = calculateTF(ABCD)\n",
    "ntf = cancelPZ(ntf)\n",
    "figure(figsize=plotsize)\n",
    "DocumentNTF(ntf0, osr, f0)\n",
    "subplot(121)\n",
    "plotPZ(ntf, 'c', 10)\n",
    "hold(True)\n",
    "plotPZ(ntf0, 'k')\n",
    "hold(False)\n",
    "\n",
    "L0 = sys_c[0]\n",
    "f = linspace(0, 0.5)\n",
    "G = evalTFP(L0, ntf, f)\n",
    "subplot(122)\n",
    "hold(True)\n",
    "plot(f, dbv(G), 'm')\n",
    "hold(False)\n",
    "title('NTF and STF');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Re-evaluating the SNR...  done\n"
     ]
    }
   ],
   "source": [
    "print 'Re-evaluating the SNR... ',\n",
    "snrR, ampR = simulateSNR(ABCD, osr, None, f0, nlev)\n",
    "print 'done'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KMmrIvfladHzz2ghmz9nK3obVuK/qBb6d8cMVE9D8utwYO7XYiYiIiIiI7Y2f\nNitryxpgdR3Ksx9MImSbg8pBgTR0u6lZqiZrqwVnSeoAMN77V/br09snSVebTnVYs3QfZw7sY+x3\nP1O5z6MZx8Z9PjXjXgVFY+zEZ66XPtnXM8XI/hQje1N87E8xsj/FyN7sHJ+Lid5nNKlTqQwLn+nB\n//VvQcUDkZyy9pHon3PpgbyMm8sPYwx3OzsQdCaVkF5ZFzO3ug7ly2mzC/T+SuxERERERMS2th6P\n4eWZW9lzOsbr8eCSfriTUvj282XcMagtwx/ok2MxcVZNYdSQewu8rjXrVCTGHUX96Es5jiXlcqbN\n/FJXTPGZ0NDQoq6CXIViZH+Kkb0pPvanGNmfYmRvuYlPbiYwyavsZT72wL2Uq9+Gb9ce5vTFRIZ1\nrE3PsY/w7vicE5089uRQpn25gmata9L+5vpAfYCs4+bGDCvQbpCZnXMfoe7FEI6XLcWlwN/SrYJu\nMVRiJyIiIiIiueJtApNrHT82b2E4737hom7DfsSVCuRUqUCe+vtEGnbozquPDKR3kyr4OxzATQT4\nO3IkbO6oYIyJ4faBbTPK9NW4ufwYOeRuJkz8lSYlWrIxJBiMyddMm3mlrpjiM3buky0eipH9KUb2\npvjYn2Jkf4qRvV0tPpebwORaxo99Pe0nOtboTWCqm8bnY+l27Bztug6hwtnd9G1WLS2p8+jXpzff\nf/kxP3z1Md9/+THVguqyZ/sJhjzWHT8/e6Q2/fr05tGHbyHoUjR+q36k9p7Z/KkQWgzVYiciIiIi\nIrmS7M4xyz6Q//FjkSdjqOPfkkNlS3E4OAgsi4rxSdSNiaO8fzvCf9pOl56NCPKyLtyRg2eZP2Mz\no8aGUSooMH8VKCB39Q3DP24Lp9dVZcJbd1IyIOdkLr5mj7RWrgvqM29/ipH9KUb2pvjYn2Jkf4qR\nvV0tPgEO72tg52f82JGDZ/nyo0WcST3iSeoAjOF86RJsrF6Boym7iD53iQ/f/IFZU9dx5tSFjGtj\nouKY+n/LGfRwF6pWL5/3mxeCmrUrUsXt5tC5nBOpFAQldiIiIiIiwoWYeI5GnLviOfffcxcnfv4q\n6858zDi5e9txJn++jMEPd+XmPu056aXMh4f0ZdDwLrz41l2UKVuC8R8s5NvPlrF/10kmf/Er3Xo1\npmmrmnm6b2GqUbsCQQlJHDyrxE6KGfWZtz/FyP4UI3tTfOxPMbI/xciezkVe5P/+sYAJHy1g0dxt\nuN3e+1aapqBjAAAgAElEQVTGVWlM3759qb1nNhW3z+T0gon8/rEH8jR+bNPqQ8ycvJbhY3rSpGUN\ndgfU4uH77qH2ntmE7JqdY0xamXKl6NO/Na/8+R6atKrBD9M3UDWkHD36NvPJsxeUCpWCcLgt9h+P\nLpT7aYydiIiIiMgN7PTxaL7+1xJ639WSqNjDHNodScTHkThHdqNs+VIZ57ktiznbTvLXhwfQLORh\nAN6dv4uosiVzfa9fF+xi9ZK9PPZCb6pWL8+e0xfZc/oiM0cPpsSTziteGxDoT+ceDencoyGWZWGM\n9/F+dmGMoXzVchw5fL5Q7qcWO/EZ9Zm3P8XI/hQje1N87E8xsj/FyF6ORpzjq08W029wWzr3aMjt\n/cIY+Xwv6jaqyr/f+5n9u05lnLs24jxlS/jTLKRcxr6Hu9TBtekYl5JSrngft9ti3veb2LjqII+/\nfFvGuLgJqyJ4qFNtSvjnbXIRuyd16W6qU5HoTGMDC5ISOxERERGRG9DBvaeZ9O+lDBjWmTad6mbs\ndzgchN3divtHdOV/36xm4Q9bcbvdzNp6ggGta2Qpo3aF0nSqU4EZm09c9j6pqW5mTFrNkYNnGf1S\nH8pXKA3A/jOxbDkew6A29h0nd60aN6yC42ICcVdJfH1BiZ34jPrM259iZH+Kkb0pPvanGNmfYmQP\nu7cdZ9r4FTw4qjvNWv+WWGWOT4OmITz92u0cOXCW/3ywiE37z3JH85AcZY3oUoep64+QmJKa41hC\nfDKTv/iVuEtJPPp8L0oH/bZswderIxjasVahLAVQVG6qU5EKyakcOhdX4PdSYiciIiIicgPZuu4w\nM75dw/AxPanfpNoVzy1bvhQjngsloXwpOh49y8kDZ3Kc07hqWZpWK8vc7adIiE9mz/YTzJ+5mS/+\n9gt/e20W5YNLMezJHgQG/ja9R8T5S6w7EsV97a7f1jqAytXKEpCSyt6TMQV+L2NZ3teisKNFixZZ\nYWFhRV0NEREREZFiae2v+wn/cTsjng0lpGZwrq6xLIv7JqzhyWZV2fDDVjrcXJ/ed7fEz89BfFwS\nEfvPsHbTUTZvPU5wipuadStSr1FV6jWqSq16lQgIzDlf41s/7eSm4FKM6lbP149oO3968wdKtqzJ\n75ztfVLeokWLCAsLyzHIULNiioiIiIjcAH5dsIs1S/cxemwYlaqWzfV1G49F4+cw9OlWj5tbVee/\nE1fzxd8XYLndnDsTS616lajXqCprG1WjQ7f63J1tHF52x6LjWX7wHDNHdb3WRyoWqtQIZv+xgl/y\nQF0xxWfUZ97+FCP7U4zsTfGxP8XI/hSjwmdZFgvmbGX9igOMukpS5y0+s7Z4Jk0xxlCmXCkeeSaU\nnn2b0X9IR/7w/iBGPt+bXne2ZPjtzZi0/ijuq/QInLgmgsFta1K2ZMC1Plqx0KB+JeLOxhb4fZTY\niYiIiIhcp9xuix9dG9mz7Tijx/YhuGJQnq6PiU9m+cFz3Nnit0lTHA5Dqw61qdOgCv6ZlinoUrci\nJf0dLNt/9rLlnbqQwJK9Z3iwQ628P0wx1axJNQIvJRKbWLAzYyqxE5/RujT2pxjZn2Jkb4qP/SlG\n9qcYFZ7UVDczJ6/h+JHzPPZiGGXKXX0h8ezxmbfzFN3rVyK41NVb14wxPNq1Ll+vjuBy83h8s+Yw\n97aukavyrhfVawRTOiWV/acLdj07JXYiIiIiIteZlORUpk9YyYXoeB59rhelSgfmuQzLsryuXXcl\ntzaqTHxyKmsPR+U4diY2kV92n2ZYx9p5rktx5h/gh6NMCXbsjSzQ+yixE59Rn3n7U4zsTzGyN8XH\n/hQj+1OMCl5SYgrffr4My7IY/lRPAkvkfr7EzPHZfvICSSluOtTK3eyZAA5jGNGlDhPXROQ49u3a\nI9zVojoVg/KeZBZ35aqW5UjE+QK9hxI7EREREZHrREJ8EhP/tZiy5UoyZFR3/K9h8e/ZW09wb9qk\nKXnRt2k1TsQksPX4b2u3nb+UxI87TjK8843VWpeuZu2KnC/gteyU2InPqM+8/SlG9qcY2ZviY3+K\nkf0pRgXn0sUEvvwonOq1KjDo4a74+eX9q356fC4lpRC+9wx3t6ye5zL8/RwM71SbiWsOZ+ybsv4I\nfZtWo0qZEnku73rQtHFVkqPiCvQeSuxERERERIq5mKg4xn+4iCYtanC3swMOR95a2bL7eddpOtau\nQKV8dpvs36o6u05dYF9kLNHxyczeeoJHutS5pjoVZy0aV6VkQjIxlxIL7B5K7MRn1Gfe/hQj+1OM\n7E3xsT/FyP4UI987F3mR8R8spMPN9bnt3tZ57jqZWXp8Zm09wYA2uZ80JbsS/n60tI4xaNRz9H7o\nac4s+oZNa1fmu7zirlSpQNwl/Nmyp+AmUMn9SEoREREREbGV08ej+fpfS+h9V0s692jokzL3nL5I\nVFwSXepUzHcZ8xaGs3jRQkr2eAgAP2Dc51MB6Nenty+qWeyUqBjEngNn6Nm+YNbwU4ud+Iz6zNuf\nYmR/ipG9KT72pxjZn2LkO0cjzvHVJ4vpN7itz5K60NBQZm09wT0ta+B3Dd05x0+bhbl5aJZ9Vteh\nfDlt9rVWsdiqVKM8J4/kXAbCV5TYiYiIiIgUMwf3nmbSv5cyYFhn2nSq67NyE5JTWbD7NP1b5X3S\nlMyS3d6TwiT3NRVbrNWtV5nYMxcLrHwlduIz6jNvf4qR/SlG9qb42J9iZH+K0bXbve0408av4MFR\n3WnWuqZPypy3MJxBo56j66CRnPj562seDxfgsLzuD7yBs482zarhuJiA2+39vblWN/BbKyIiIiJS\nvGxdd5gZ365h+Jie1G9SzSdlzlsYzrjPp3K0yQACej5C0K3DGff5VOYtDM93maOHDMCsnpp156op\njBpy7zXWtviqG1KOFIeDI8ejC6R8Y1kFkzEWhEWLFllhYWFFXQ0RERERkUK39tf9hP+4nRHPhhJS\nM9hn5Q4a9RxHmwzIsb/2ntl8/+XH+S533sJwvpw2myS3p6Vu1JB7b9iJU9K99Ic5hIY2ov9tzfJd\nxqJFiwgLC8vR11WzYoqIiIiI2NyvC3axZuk+Ro8No1LVsj4r98DZWCKiEvDzcuxax8P169P7hk/k\nsitTpSyHDp4rkLLVFVN8Rn3m7U8xsj/FyN4UH/tTjOxPMcoby7JYMGcr61ccYJSPkrojUXFMWHWI\nB75ew/P/24Jxe8/gbuTxcAWleq1gzp2MKZCy1WInIiIiImJDbrfFT//bSMS+SEaP7UOZciXzXdbJ\nmHgW7I5kwZ5IIi8m0qdJVV6/rQmtapbn54aJjPt8KlbXTMsTrJrCqDHDfPAUklmTRlU5vHQflmVd\n00Ly3iixE5/RujT2pxjZn2Jkb4qP/SlG9qcY5U5qqptZU9Zy9vRFHnsxjFKlA/NcxpnYRBbuiWTB\nrtMciY6nd6MqPHdrA9rXqpBljbr07pJZxsONGaZulAWged1KzHNbXIyJp1xwaZ+WrcRORERERMRG\nUpJTcX29isSEZB59rheBJXL/lT0qLonwvWf4Zfdp9kXG0rNhZR7rVo8udSrg73f5vpUaD1c4qpYt\nQWzJAPbuP0PHjnV8WrZ6zorPqM+8/SlG9qcY2ZviY3+Kkf0pRleWlJTC5C+WYVkWw5/qmauk7mJC\nMnO2neDZ/25m4PhVbDwaxdAOtZg3pjtv3dmc7vUrXTGpy0zxKVjGGAIrlGb33kifl60WOxERERER\nG0iIT2LSv5dRsXIQA4d3we8KydilpBSW7T/Lgt2RbDwaRac6FbmnVXX+fm8rSgV6m+NS7KJiSHlO\nHI3yeblax05EREREpIhdupjAxH8toXaDytx1fwccjpwTayQkp7Li4DkW7D7N6ojztLspmNuaVqVn\nwyqUyUN3TSla34TvZd+P23j3g8H5ul7r2ImIiIiI2FBMdBxff7yYFm1r0eeeVllmS0xKcbM64jy/\n7D7NioPnaB5SltuaVuO1vk0pXyqgCGst+dW0fiV2J6YQdymR0kElfFauxtiJz6hPtv0pRvanGNmb\n4mN/ipH9KUZZnTtzkfHvL6T9zfW47d7WGGNIcbtZfegcf5q3izs/X87kdYdpU7M8/3usK/92tmNA\n6xoFltQpPgWvQeUyxJbw58SR8z4tVy12IiIiIiJF4PTxaCZ+uoTQfi3oeEtDNhyJYsHuSML3RVKj\nfCn6Nq3KE7fUo1rZ/K9fJ/ZTKSiQuJIB7D9wlobNqvus3EIdY+d0OoOBL4EWgAU8CuwDpgN1gAjA\n6XK5or1drzF2IiIiInI9OBZxjm8/X0bL3k3YG+DPwt2RVAwK5LamVenTpBo3BZcq6ipKAXr2o3Ca\n+RvGPNsrz9deboxdYXfF/Bj4yeVyNQNaA7uBV4EFLperMbAobVtERERE5LpjWRZLVh/ii3+Gs71S\nWSYdu0C5EgF8/kA7pjzSmRFd6iqpuwGE3FSBs8djfFpmoSV2TqezPNDD5XJ9BeByuVJcLlcMcA/w\nTdpp3wADCqtO4lvqk21/ipH9KUb2pvjYn2JkfzdqjA6cjeXz5Qd55MNw5k1ZS8VuDXlrRFdcI7sw\nuns96lYKKuoqAjdufApbw3qVSIxNJCkxxWdlFuYYu3rAGafT+TXQBtgAvABUc7lcp9POOQ1UK8Q6\niYiIiIgUiCNRcSzYfZpfdkcSm5hCj1L+NDoZzSMvhlG7fuWirp4UoYZVy7KhVAAnj0VRp0EVn5RZ\nmImdP9AeeMblcq1zOp3/JFu3S5fLZTmdzisO+luyZAmhoaEZPwPatsl2+j671Efb3rfT2aU+2ta2\ntrXty+3Q0FBb1UfbObfT99mlPvndjk9xM37aLM6cj8GPVH4/ZiT9+vRm5s+L2XIeDiSXIfJiIs3K\nJHFHZUOL4FqE/7idtreU4+CR7dSub6/nud7iY/ftNp27cd7fj6WL1lD7aJk8X+9NoU2e4nQ6Q4BV\nLperXtr2LcBrQH2gl8vlOuV0OqsDi10uV1NvZWjyFBEREREpavMWhjPu86lYXYdm7ItdOok6bW4m\npXpzejWqQt+mVWlfqwJ+DsPyhbtYtXgfjz7fi8pVyxZhzcVOhr0zj7tqlmfoyG55uq7IJ09xuVyn\ngKNOp7Nx2q4+wA7gB+CRtH2PALMKq07iW1f6C4LYg2Jkf4qRvSk+9qcY2d/1EKPx02ZlSeoAytz6\nMEkRW5j/VHf+cHtTOtWpiMPAwh+2su7XA4x+KaxYJHXXQ3yKiwrVynHMh2vZFfY6ds8CU5xOZyBw\nAM9yB36Ay+l0PkbacgeFXCcRERERkVzZfyaWA+fiCfRyLKhEAP5+nnYTt9vip/9tJGJfJKNf6kOZ\nclqLTrKqVaciF7YeIyUlFX9/v2sur1ATO5fLtQXo5OVQn8KshxSMzH2zxZ4UI/tTjOxN8bE/xcj+\nimOMElNSWbTnDDO2HOdETDyBl+nzlr4/NdXNrClrOXv6Io+9GEap0t7SQHsqjvEprhpULcvm0oFE\nnoyhRq2K11xeYbfYiYiIiIgUC0ei4pix+Tg/7jhF02plGdaxNj0aVmJBo6QcY+xYNYVRY4aRkpyK\n6+tVJCYk8+hzvQgsoa/b4l39ykGsKBnAiaNRPknsCm2MnVz/1Cfb/hQj+1OM7E3xsT/FyP7sHqOU\nVDfheyJ52rWJUVM34OcwfD2sA/+6vy29GlfB3+GgX5/evP3UUGrvmU3IrtnU3jObP40ZRljPnkz+\nYhmWZTH8qZ7FMqmze3yuJ/Url+G0MZw4EuWT8orfp01ERERExMdOXUhg5tYTzNl6gloVSjGoTU16\nN65KoL/3dpB+fXrTr0/vjO2E+CQmfrKECpWDGDS8C35+aj+RKwsuFUBSUAmORJzzSXmFttyBL2i5\nAxERERHxlVS3xeqIc3y/+QRbj0dzR/MQBrapQYPKZfJUzqWLCUz81xJq1a/M3c4OOBw5ZqIX8erp\nyeuptPYgb/3zPhyO3P0x4HLLHajFTkRERERuKOcuJTFn2wlmbjlBcOkABrepyZ/vbkGpwLzPTBgT\nHcfXHy+medubuO2e1hijpE5yr171csSWDOBcZCxVQspdU1lqIxafUZ9s+1OM7E8xsjfFx/4UI/sr\nqhhZlsX6I1G8Nmc7909YzfGYeP56b0smDe/Eva1r5CupO3fmIuPfX0j7m+vR994210VSp9+hwlW/\nchCpZUpwwgfr2anFTkRERESuWzHxyfy44yQztpzAz2EY3KYmr/dtQtmSAfkuM/r8JX5dsIstaw/T\nd0AbOvdo6MMay42kQaUgwgP8OXE0ijad615TWRpjJyIiIiLXFcuy2H7yAt9vPs7S/We5pX4lBret\nSZua5a+pVe1s5EWW/byTnVuO0bFbfbqHNaVs+VI+rLncaC4mJDP8/XD6lwngsRd6X/0CNMZORERE\nRK5zl5JSmL/zNN9vPk58ciqD2tTg+dCGVLjGBcJPHY9m6fwd7N99mq63NmLs23dTOqiEj2otN7Ky\nJQPwKx1AzIX4ay5LY+zEZ9Qn2/4UI/tTjOxN8bE/xcj+CiJGeyMv8tdf9tD/i5WsjjjP86EN+X5U\nV4Z3rnNNSd3RiHN8+/kyvv5kMdVrVeDld/oTdner6zqp0+9Q4bupQmkSk1KvuRy12ImIiIhIsZOQ\nnMqiPZF8v/k4p2MTGdC6BtMe7ULVsteWdFmWxaF9kSyZt4Ozpy/So28zhjzWjYBAfW0W35u3MJyN\nP86iQ4U2DBr1HKOHDMiyPmJeaIydiIiIiBQbEecvMXPzCX7ceYrmIWUZ3KYm3RtUwj+Xa4BdjmVZ\n7N1xkiXzdnApNpGetzejbee6+PvnfbZMkdyYtzCccZ9PpWQHJx1PRvFr7SqY1VN5+6mhV0zuNMZO\nRERERIql5FQ3S/ef5fvNxzl4Npb+rWow8aGO3BR87ROXuN1udmw6xtL5O3BbFqG3t6Blh1q5Xixa\nJL/GT5uF1XUo7pRUTFpbm9V1KF9Om52vVjt9YsVn1Cfb/hQj+1OM7E3xsT/FyP7yEqMTMfF89usB\n+v9nJf/ddIyBrWvwwxPdeaZng2tO6lJT3WxcdZBP3pnH8oW7Cbu7Fc+83o/Wnerc0EmdfocKT7Lb\n0+hmAZmb35Lc+StPLXYiIiIiYhupbouVh84xY/Nxtp2IoV+LED5/oB31KgX5pPzk5FQ2rjzIrwt2\nUaFSEP0f6ED9JtWui8XFpXgJcHia6SxjcGQaHheYz78raIydiIiIiBS5s7GJzN52gplbTlC5TAkG\ntalB36bVKBngmzFuiQnJrFu+n+UL91CjVgVC+7Wgdv3KPilbJD/Sx9j5dR5Cz8NnCa9XlRPzJ/C3\nZ4fz0IA7LnudxtiJiIiISJGZtzCc8dNmkew2BDgsRg8ZwO1hvVh/JIrvNx9n3eEo+jSpyvsDW9O0\nWlmf3Tc+LolVS/ayevFe6jWuysNP30qNWhV8Vr5IfqWPo5sw7Qcc/h2pvWc2vQbfQ3hsZYakuvH3\ny1vT3Y3bgVh8Tn2y7U8xsj/FyN4UH/tTjOwpvWXiaJMBnGp2L0ebDGDsR5O49ZXP+TB8Hx1rV2DO\nE914/famPkvqYi8k8POszXzw5g+cPxPL6Jf68ODoW5TUXYV+hwpXvz69mf6fD/D38+P7Lz/mr085\nKVPSn/+sOJTnstRiJyIiIiIFKn32v8zKhD5Mqa3f890/nvLp+Lbo85dYvmA3m9dG0KpjbZ5+7XYq\nVCrjs/JFfM3hMLjdFpZl4TCGt/o156FJa+lUpwKd61TMdTlK7MRnQkNDi7oKchWKkf0pRvam+Nif\nYmRPSW7viVuJAH+fJXXnIi+y9Oed7Nx8jA7d6vPcm3dSrvy1L4dwo9HvUOEzxuBwGFJT3fj7+1Ex\nKJBx/Zrz1k87mfJIZyqUDsxVOUrsRERERKTApKS6OXouFm9fTfM7+19mp49Hs2T+TvbvPkWXno0Y\n+/bdlC5T4toLFilEfn4O3KlWRnbWpW5F+jUP4e15u/hwUGscufgDiMbYic+oT7b9KUb2pxjZm+Jj\nf4qRvcQmpvD891to0O5mrFVTsx5cNYVRQ+7Nd9nHIs4x+YtlfPXJYqrfFMxLf+pPn/6tlNRdI/0O\nFQ2Hn4PU1KwL2D11S31i4pOZtuForspQi52IiIiI+NzJmHhemLGVDrWC+fjNkSwIr8+X02YTeT6a\nqhWDGTVmWMasgLllWRYR+86wZP4Ozpy6QI/bmuEc2Y3AQH2lleLNz8/gzpbY+fs5ePfuFoyYvJ52\nNwXTLKTcFcvQOnYiIiIi4lO7Tl3gpZlbeahTbR7sUOuax9FZlsXeHSdZOn8HsRcS6Hl7c9p2qYu/\nv2/WuBMpau/9fiZPv3Y75YJL5zj2y67TfLH8IN8+0omgQH+tYyciIiIiBW/Z/rO8M38Xr/dtSq/G\nVa6pLLfbYufmYyydv4PUVDe33tGclu1r45fH9b1E7M7Pz0FqqvcGt77NqrHm8Hme/GAylw5s5OkH\nvXdh1m+F+Iz6ZNufYmR/ipG9KT72pxgVrekbj/LeL7v55+A2l03qchOj1FQ3m9Yc4pN3fmLZLzvp\ndVdLnvlDP9p0qqukroDpd6hoOBw5u2Jm1to6ztLwhRxtMuCy56jFTkRERESuSarb4p9L9rEm4jxf\nDu1AzeD8LTOQnJzKxlUH+fWXXQRXDOJuZ3saNA3x6Tp3Inbk5+fA7b78ELlvvp9Dtb4jr1iGEjvx\nGa17Yn+Kkf0pRvam+NifYlT44pNSeePHHVxKSuHLoR0oVzLgiud7i1FSYgprf93P8oW7qX5TMPc/\nejN1GlxbN07JH/0OFQ1vs2JmlnyZtSAzU2InIiIiIvlyNjaRsTO3Ur9SEO/d05KAPHaTjI9LYvWS\nvaxavJd6javy8NM9qVGrYgHVVsS+/PzMFRO7AMfVJ7xUJ2XxGfXJtj/FyP4UI3tTfOxPMSo8B87G\nMnLKBno2qMy4fs1yndQtWbKESxcT+GXWFj548wfORV5k1NgwHhx9i5I6G9DvUNFw+DmuOMZu9JAB\nmNVTL3sc1GInIiIiInm09vB5/jh3By+ENuLOFiG5vi4mKo49G2NY/sOPtOpQmzGv3k7FymUKsKYi\nxcOVZsUEMtZ8/HLabGh/j9dztI6diIiIiOTanG0n+PeyA/zlnpZ0qFXhque73W4O7D7NuuUHOLD7\nFB261eeWPk29rtclcqP68sNF9L6rJfWbVLvquVrHTkRERETyzbIsvlhxiJ93nuI/Q9pTt1LQFc+P\niYpjw8qDbFh5kNJBgXS8pQGDhnemZKnAQqqxSPHhuMoYu1yV4aO6iKhPdjGgGNmfYmRvio/9KUYF\nIynFzRs/7mRdxHm+GtbxskldaqqbnVuOMenfS/nXu/O4eCGeoU/cwtOv30GXno0oWSpQMbI5xado\n+F1lVszcUIudiIiIiFxWdHwyv5u1lQqlA/nsgXaUDPDLcc75M7GsX3mAjasOUaFSEJ1uacCQUd0J\nLKGvmiK54Zk85dqGyGmMnYiIiIh4dTQqjhe+38qtDSvzzK0NcGRaKDwlOZWdW46xfvkBTh6Ppm3n\nunTs3oBqNcoXYY1Fiqep//mVVh3r0KpD7aueqzF2IiIiIpJrW47H8LtZ23i8ez0Gt62Zsf/MqQus\nW76fzWsiqFYzmI7d69O8bS0CvLTkiUjuXG25g1yV4aO6iKhPdjGgGNmfYmRvio/9KUa+sXBPJC/P\n3Mqb/ZoxuG1NkpJS2LT6EP/3/kK+/GgRfv4OnnjlNh57oTdtOtXNU1KnGNmb4lM0/PwcuN3X1pNS\nLXYiIiIiAnhmvvx27RGmbzrGp/e3pWxSCnO+W8/WDYepVbcS3fs0oWmrmvjlcjFyEckdX8yKqTF2\nIiIiIkKK283fF+xlx7FoRtYuz54NR4i9kECHbvXp0K0+wRWvvLyBiOTfrClrqV6rAl16NrrquRpj\nJyIiIiJeXUxI5o3J6wk4GUXTqDhOpSQTdncrGjUPweFQ65xIQfPFrJj6TRWfUZ9s+1OM7E8xsjfF\nx/4Uo7yJu5TIz/N28Pbrcyiz+yR3dqrDC+PuYtgTPWjSskaBJHWKkb0pPkVD69iJiIiISJ5YlkXE\nvjOsW7GfnVuOE1kykNY9GzG6f0uNnRMpIn5+5ppnxdQYOxEREZEbQOyFBDatPsT6FQdw+BkqNQ1h\nyomLvNyvOWFNqhZ19URuaL/M3kJAgB+97mx51XM1xk5ERETkBuN2WxzYfYr1Kw6wf9cpmre9iUEP\nd2FNTAJfrT7MP5ztaKUFxUWKnKcrpsbYiU2oT7b9KUb2pxjZm+Jjf4qRR0x0HOE/beeDN37g51lb\nqN+4Gq/8+R4GDu/CzCPRuDYd58uhHYokqVOM7E3xKRq+WKBcLXYiIiIi14HUVDd7t59g3YoDHDlw\nllYdajP0iVuoWbsiAAnJqbw6ezvR8clMGNqB8qUCirjGIpLOz2FIKE5j7JxOZwRwAUgFkl0uV2en\n01kRmA7UASIAp8vlivZ2vcbYiYiIiGR1/mwsG1YcZMOqg1SoFETH7g1o1aE2gSV++/v9uUtJvDRz\nK7WCS/HGHc0I9FenLRE7Wb5wNzHnL3GXs8NVz7XLGDsLCHW5XOcz7XsVWOByuf7udDp/n7b9aiHX\nS0RERKTYSElJZdeW46xbvp+TR6No27kujz7Xi2peulYeOneJF77fwp3NQ3i8ez2MyfF9UESKmJ+f\ng1R38Rtjl/1/k3uAb9J+/gYYULjVEV9Rn2z7U4zsTzGyN8XH/q73GJ05dYF532/i76/PZu2yfXTo\nVp/fvTeAu5wdvCZ1G45E8eS0jYzuVo8nbqlvi6Tueo9Rcaf4FA2HD5Y7KIoWu4VOpzMV+I/L5RoP\nVHO5XKfTjp8GqhVynURERERsKzkphe2bjrJ++QHORl6kfdd6PP7ybVSuWvaK1/24/SSfLN3Pu3e3\noFOdioVUWxHJD18sUF7YLXbdXS5XO6Af8LTT6eyR+aDL5bLwJH+XlfmvCEuWLNG2jbbT99mlPtrO\nucsJhzkAACAASURBVJ2ZHeqj7ZzboaGhtqqPtrNuKz723w4NDbVVfa5l++SxKOZMW8+fX/kfi+dv\nolvvJvzuL/dSokI023duuOz1ixcv5vUp4fzfykN8/kB7Lh3aaovnycxO9dG24mOHbT8/B+5UK1fn\nX06RLVDudDrHAbHAaDzj7k45nc7qwGKXy9XU2zWaPEVERESuZ4kJyWxdf5h1yw8QeyGBDt3q06Fb\nfYIrBuXq+uRUN+/O303E+Ut8MLA1lcuUKOAai4gvbFkXwa4txxkyqvtVz73c5CmF1mLndDpLO53O\nsmk/BwF9gW3AHOCRtNMeAWYVVp3Et670FwSxB8XI/hQje1N87K84xsiyLI5GnGPm5LX8/fXZ7Nl+\nkrC7W/Hyu/0Ju7tVrpO6CwnJPPvfzcQlpfCfIe1tm9QVxxjdSBSfouFXzNaxqwbMdDqd6fed4nK5\nfnE6nesBl9PpfIy05Q4KsU4iIiIiRSL+UhKb10awbsV+kpNS6di9Ac+Pu4ty5Uvluazj0fG88P0W\nutWrxHOhDfFzFP0kKSKSew4/B6mp19aTssi6YuaHumKKiIhIcWZZFhH7z7B++QF2bztO4xbV6di9\nAfUaV8ORz2Rs+4kYXpm1jUe71sXZ/iYf11hECsOe7SdYtXgvI54Nveq5dlnHTkREROSGc+liAhtX\nH2L9igMYY+h0SwPuvL89QdfYXTJ8TyTvLdjDm/2a0aNBZR/VVkQKm58PljsoinXs5DqlPtn2pxjZ\nn2Jkb4qP/dkpRm63xb6dJ/lu/HI+HDeXyJMxDBreheffvJPuYU2vKamzLIvJ647wQfg+/nV/22KV\n1NkpRpKT4lM0HA4Hqe7iM8ZORERE5LoXEx3HxpUH2bDyICVLB9KpewMGPtSZkqUCfVJ+itvN+4v2\nseVYNBOGdSCkXEmflCsiRceRttzBtdAYOxEREZFrlJrqZu+Ok6xffoDDB87QskNtOnVvQE0fLwwe\nl5TC6z/sINVt8d49LSlTQn+jF7keHD10lh+mb2DMq7df9VyNsRMRERHxsfNnY9mw4iAbVh2kQqUg\nOnSvj3PkzZQoGeDze0VeTOTFGVtoFlKWV/s0wd9PI2pE/p+9+46vqr7/OP669yYQ9pS99957Q0AF\nRSzocW+0bq1Va60/bf3V/tRqq9a6qyCicKwKKKJCILI3Ya8Qwg4QdoCse8/vjwRlh9wk93zvzfv5\neFBy7jjnU9/cwCfnOyKFtxC2O9B3BCk0GpNtPmVkPmVkNuVjvlBklJ3tZ/Wy7Xzy1izefflHMjOy\nuOuRAfz2qSF06dW4SJq6TfuOcff4pQxpUY0/Xd4irJs6fY7Mpnzc4SuE7Q50x05ERETkEuxPOcrS\neVtYsWgr1WpWoGvvxtz6QD+io31Fet35Ww/wwtR1PDW4GZe3qF6k1xIRdxTGBuWaYyciIiJyAVmZ\n2axZsYOlc7eQuu8YHXs0pEvvxlStVi4k1/965S7en7uVV0e0oX2diiG5poiE3oH9x/jkzVk8+ddr\n8nyt5tiJiIiIXKKUnYdYMm8LK5dso079KvQa1JwW7WrjC9EQyIDj8O/ZW4jfvJ+Pbu5E3UqlQ3Jd\nEXGHz+clECjYDbfwHaAtxtGYbPMpI/MpI7MpH/MVJKOM9CyWzN3Cu6/8xKfvzKZU6ZI89McrufOR\nAbTuWDdkTV16lp8/fbuWVbuO8J9bukRcU6fPkdmUjzu8Pi/+Ag7F1B07ERERKbYcx2HntoMsnbuF\nNcu307BZNQYOa02z1jXxekP/8+9DJzL5/TerqFk+hretDpSMKtr5eyJiBl8hNHaaYyciIiLFzsnj\nmSQsSWbp3C1kZmTTpXcjOvZsRPkKpVyrKfngcX731SqGtKjG/X0a4fWcM4VGRCJU+slMXn12Ms//\n8/o8X6s5diIiIlKsOY5DcuJ+ls7bwoZVu2jaqibDrutIw2bV8XrdbaKW7zjEH6es4cG+jRnRrpar\ntYhI6Hm9Bd/uQHPspNBoTLb5lJH5lJHZlI/5zpfR8WPpzJm+njf+MpXJny+hZp1KPPHicG4c3ZvG\nLWq43tT9sC6FZ6as4cWrWheLpk6fI7MpH3d4fZ4Cb3egO3YiIiIScQIBh6SNKSyZu4XE9Sm0bF+H\nkbd1p16jqngMGeLoOA4fL0xm0qrdvGN1pMllZd0uSURccmpVTMdxgv4epcZOCs2AAQPcLkHyoIzM\np4zM5TgO7Vp3IXXfMTwAHvCQ+5evBzy5D57+97HH48l9HeD55dVnvva0x38552nn+/X1Z53v9HN6\nOOMfAqef35QmJlQ6dujGrGlrWTZvCzGlounSpwnX3tKNUqVLuF3aGbL8Af720wYS9x/nk1u6ULVs\nSbdLChl9nzOb8nGHx+PB6/UQCDj4fGrsREREioTfH+Cbzxazae1uSsZEQ+40iFMLkOX85nD6emSO\n8+vx6QuVOY4DTu4pTr0/93/OPN+Z5zz1vl9f75zzvgvVcsrZzecvTd/ZzedZz19K0/rL2zynv+/M\nZvPM852nll/LuaSm9dfX577XgcMHj9O2cz1uvLc3tetVNrKxPZaexdOT11Aq2sf7N3akdAn9c0xE\nft3yINitVfSdRApNfHy8fspjOGVkPmVknqzMbCZ8NB+/P0D3yysSO3iQ2yXl269N5rnN5+lN5mn9\n5DlN6y9fO+Bw2vtOvfe085/x+FnnO/2cZ5zv1OvOON9pdf5yfeec859+vvUbExg8pFv+/yOFyJ4j\nJ3nsq1V0q1+J3w1sis/l+X1u0Pc5sykf9/gKOM9OjZ2IiMgFnDyRyWfvzqZ8xdKMuqM7c+fOcbuk\noHg8njOGdkayzUnmrgu3LuUoT36zitu61eemznXdLkdEDJNzxy74lTHV2Emh0U93zKeMzKeMzHHs\nyEnGvB1PwybVGHZ9J7xej/IJA6Zm9PPm/fz1xw08d0UL+je9zO1yXGVqRpJD+binoJuUq7ETERE5\ny8H9aXzyr1l07NGQgUNbGzlPS8LHF8t2MG7xNt4Y1Z7WNcu7XY6IGMrn8xZoKKa54xUk7GjfE/Mp\nI/MpI/el7DzEB6/PoE9sCwYNa3NGU6d8zGdSRv6Aw2txm/hm5W4+urmzmrpcJmUk51I+7vF6Pbpj\nJyIiUhiSE/fz+QdzGH5DF9p2rud2ORLGTmb6+dN3a0nP8vOfmztRLiba7ZJExHA5d+w0x04MoDHZ\n5lNG5lNG7tmwehdffbqIG+7uSZOWNc/7GuVjPhMySk3L4ImvV9HksrL8cUQbooNcujxSmZCRXJjy\ncY/Xpzt2IiIiBbJi4VZ++CaB2x/sR92GVd0uR8JY4v40nvh6Fde2q8VdPeprfqaIXDKvz0sgoDl2\nYgCNyTafMjKfMgq9eXEbmD5lFfc8PijPpk75mM/NjBYlH+RBewUP9m3E3T0bqKm7AH2OzKZ83OMr\n6u0OLMuqDlwBtAcqAoeAlcB027ZTgr6yiIiIixzHYfrkVaxN2MF9Tw6mYuUybpckYWzyqt28M2cL\nL1/Thk51K7ldjoiEoYKuiulxnPN3hZZltQJeBAYCy4D1wDGgPNAS6ATMAp63bXtd0BXkQ1xcnBMb\nGxuKS4mISAQLBAJM/mIpe3Yc4o6H+lOmXIzbJUmYCjgO781NYvqGffxzVDsa6AcEIhKkD/8xg9ir\n29KoWfWLvi4uLo7Y2NhzhgRc7I7dJ8BrwK22baef/aRlWTHAcOBjoEe+qhYREXFJdpYf+5MFpJ/I\n5J7HB1FSqxVKkDKy/bw4bT17jqbz8S2dqVS6hNsliUgY83mLaB8727a727b95fmautzn03OfV1Mn\ngMZkhwNlZD5lVLQy0rMY+++f8Xjg9of657upUz7mC1VGh09k8rCdQMCBd6yOauryQZ8jsykf93gL\nOMcuqMVTLMuqHPQVRUREXHD8WDof/XMmVaqV44Z7ehEV7XO7JAlT2w+d4O7xy2hXuwIvDW9NjP4s\niUghyFk8pQjm2AFYlhUFPAS0AhYAXwE/kjP0cg9wjW3by4K+ej5pjp2IiATj0IHjjHlrFm0612Pw\n8LZarVCCtnLnYZ6evIbf9mnIyPa13S5HRCLI5+/PoV3X+rTpVO+ir7vQHLu87ti9CdwBHAYeB6YB\nc4G2wDhy5uCJiIgYa9+eI3z4+gy692/KkGvaqamToP20YS9PTV7NC8NaqqkTkULnLeAdu7wau1HA\nFbZt/wEYBvQiZxXMtcALQIegrywRR2OyzaeMzKeMCtf2pFT+88ZMLh/Rjl6Dmhf4fMrHfEWRkeM4\njFmUzFvxifz7+o70alil0K9RnOhzZDbl456c7Q6Kbo5dGdu29wPYtr0bOHJqMRXbtjO4hH3wRERE\n3LB53R7GvTub39zajQ7dG7pdjoSpbH+Al37awPQN+/j4li40rVbW7ZJEJEJ5fZ4inWN3DKhw6rVA\nKlDltOPDtm2XC/rq+aQ5diIicilWLdnGd18u45bf9qV+48vcLkfCVFpGNs9MXk2Uz8tLw1tTpoR+\nni0iReeb8YupXa8y3fo2uejrgtnHDqAMkH3WY2cfi4iIGGPhz5v5+Ye13P3YIGrUruh2ORKmUo6m\n8/hXK+lQpyJPxjYlyhvUQuIiIpfM5y3aOXaNLuGXCKAx2eFAGZlPGQXPcRzivlvN/LgN3Pv7wUXS\n1Ckf8xVGRhv2HuOe8csY3qYmfxjcTE1dIdPnyGzKxz0+n6dAG5Rf9I6dbdvJQZ9ZREQkRAIBh+/s\nZWzfsp/7nhxM2fKl3C5JwtScLam8OG09f7y8OYOaVXO7HBEpRgq6KuYF59hZljXurIcccubVnfoa\nANu2bw/66vmkOXYiInK27Gw/X41dyNEjJ7ntgX7ElCrhdkkSpuzlO/lkYTJ/v7YtbWpVyPsNIiKF\n6KdJK4kuGcXAoa0v+rpg9rHbAiTm/joMXJv7+h2ADxiR+7iIiIgrMjOy+ezd2WRm+rnz4QFq6iQo\n/oDDP2Zu5ssVO/nw5s5q6kTEFV6ft0BDMS/Y2Nm2/Wfbtv9i2/ZfgObAVbZt32Lb9rO2bd8CXAW0\nCPrKEnE0Jtt8ysh8yujSnTiewcdvzqRchVLcfF8fokOwYqHyMV9+M0rP8vPM5NVs2neM/9zSmToV\nNYy3qOlzZDbl4x5fAbc7uNTZwD2AhWc9tgjoGfSVRUREgnTk0Ak+fH0G9RtfxsjbuuPzaXELyb8D\nxzP57YTllC4Rxb+u70D5mGi3SxKRYsxXVHfszrIC+D/LskoBWJZVGvhb7uMiAAwYMMDtEiQPysh8\nyihvqXuP8sFrM+jUoxFDR3XE4zlnmkGRUT7mu9SMklKPc/f4pfRpVJU/D2tJtH44EDL6HJlN+bgn\nZ/GUC+8xnpdLHbdyJ/A5cNSyrENAJWApcHPQVxYREcmnXdsO8uk7PzNkRDu69GrsdjkSppZsO8hz\n363l0f5NuKpNTbfLEREBcu7YFflQTNu2t9q23RNoDFwDNLFtu6dt21uDvrJEHI3JNp8yMp8yurAt\nG1IY+3Y8I27q6lpTp3zMl1dG363Zw3PfreVvw9uoqXOJPkdmUz7u8XqLaB87y7JK2radcfpjtm1v\nB7bn9bqLnNNHzp2+nbZtD7csqzIwEagPJAOWbdtaaVNERM6wdsUOJn++hBvv7U2jZtXdLkfCkOM4\nvD9vK9PWpfDejZ1oWKWM2yWJiJzB6/MSCAQ/FPNid+wSLMt62rKsWud70rKsWpZlPQ0k5ON6jwHr\n+HUfvGeA6bZtNwPico8lTGlMtvmUkfmU0bmWzE3k24nLuPPRAa41ddNmzGTk6Ed5/dNvGDn6UabN\nmOlKHZK3832GMrMDvPD9OhYmH+TjW7qoqXOZvs+ZTfm4p6CrYl5sjl0/chqtlZZlHQY2AseAckAz\noCIwBuh7KReyLKsOMAx4CXgi9+FrgP65X48F4lFzJyIi5Nxhmf3TepbMSWT0E7FUrVbOlTqmzZjJ\nC+9+jtPj12nlL7z7OQBDBw9ypSa5dEdOZvHUpNVULBXNezd0JCba53ZJIiLnVWSrYtq2vd+27d8D\ndYB7gGnAGmAqcBdQx7btp23bTr3Ea/0TeAo4vdrqtm3vzf16L6DxNWFMY7LNp4zMp4xyBAIO075a\nwcrFydz35GDXmjqADydMOqOpA3B63MxLH9r8sC6FWZv2M3/rAZbtOMTaPUdJ3J/GzkMn2J+WwdH0\nLDKy/ThO8ENrJH9O/wztPHSCez5fRqsa5Xh5RBs1dYbQ9zmzKR/3FPmqmLnz52bn/gqKZVlXA/ts\n215hWdaAC1zHsSxLf/OJiBRzfn+Ab8Yt4sD+NEY/EUvpMiVdredY5vl/enokw8+cLalkZAdyf/lJ\nz/06Pct/xuPZfocSUV5ioryUjPbl/B7lo2SUN/dXztcx0Wc+HnPq6+jTvo7yUTL6zOdPnffU+0r4\nvCHdBsJEq3Yd4enJq7mnZwOu71jH7XJERPJU0FUxL3W7g4LqBVxjWdYwIAYob1nWOGCvZVk1bNtO\nsSyrJrAvrxPFx8f/Mvb31E8UdGzG8anHTKlHx+c/PsWUenSs49OPe/fqwxcfzSM19QDte1X6palz\no56DGQ5rAjXYmHKE6m05R1VvOi8Nb3NJ55s5axbZAYduPXuQnh1g9rwFZDnQtn0nMrL9LF2xkswA\nNKnfgozsAGs3bOJoAGrVq8+hk1ls2bCd7ABUqlqNjOwAe/alkhWAmLLlSM8KcCTtOFkBcLxRvzSS\nUV4oXSKKktE+ApkZRHuhSsXylIzycvzoYaK8ULdmdUpG+UhN2U20F5o2akjJKC87kpOI9kK71i0p\nGeVj4/o1RHugR9fOlIzykrBsCdFeGNivDyWjvMyfMxuPx+Pqn5/FyxNYuC6JrICH37/+Edn1uvDv\nJ26lT+Oqxvz51nHO8anHTKlHx2cen3rMlHqK07HX52H//tRL+u9/Pp5QDw+xLKs/8GTuqpivAgds\n237FsqxngIq2bV9wjl1cXJwTGxsbslpFRCR0Tp7IZNw7s6lYpTSjbu+Bz6UNo/enZfDxgmSmb9jL\nqI51qH4kkZc/ts8cjrlgPC8+eIuxc+z8AYfM7ADp2Tl3DtOz/WRknXtnMSPr1PM5j5/vbuMZdySz\nznztOXcko0+7g3jWHcmY6DPvTp5xxzH6rLuX+bwjeb55kFnzPuP/Hr7V2IxERM62ed0e5kxfz92P\nXfz7VlxcHLGxsecMywjVHbuzneomXwZsy7LuIXe7A5fqkUJw+k8XxEzKyHzFNaOjR04y9l/xNGxW\njWHXdcLrDf0wwsMnMhm7eDtTVu/m6jY1+fKeHlQqXQJoRKmSUXw0YTL7Dh6mWuWKjDa4qQPweT2U\nKuGjVInQzCnzB5wzmr3TG8n005vAsxrJ9OwAx09knreRTD9P03mhRnL9pDFUib3zjJqie9/KRxMm\nG51TcVVcv8+FC+XjnpzFU4pwjt3FWJZVzbbtPIdPns627Z+Bn3O/PggMLkgNIiIS3g7sP8aYt+Lp\n1LMhA4a2DvncsLSMbMYv2c6XK3YyuHl1vrizO9XKnTmvb+jgQQwdPEj/4LkAn9dD6RJRlC4Rmuud\n3UjeNr8859sE9wLTI0VEjOQNxRw7y7Kqnr76pWVZjchZ4fJ2QJvBCID+sRMGlJH5iltGe3YeYuzb\nPzNwWGu692sa0mufzPQzccUOxi/ZQe9GVRh7W1dqVyx10fcUt3xMdXYjWa6E97yNXQl3RvNKHvQ5\nMpvycY/XW3T72GFZVl/gv8BllmVtIWcfukeA+4BvgYFBX1lERIq15M37+PyDuQy/sQttO9cL2XUz\nsv18s3I3YxZto2OdinxwUydtWB3m7r3x2nPm2LFgPKMfvMW9okRE8qnI9rHL9XfgQ6AN8BWwAGgH\ntLNt+3rbthcHfWWJOBdbpUfMoIzMV1wyWr9qF+M/mIt1d8+QNXXZ/gDfrNzFqI8WsmjbQd4c1Z7/\nu6ZNvpq64pJPuBk6eBB/eeBm6m2cTMyCsdTbONnoxW2KO32OzKZ83OPzeQgEim6OXQugt23bfsuy\nngeeBEbZtn0g6CuKiEixtnxBEj9OWsntD/WnboMqRX49f8Dhpw17+XDeVqqXj+Fvw9vQrnaFIr+u\nhJbmQYpIuCvqOXY+27b9ALZtZ1qWdUxNnVyI/iI1nzIyX6RnNHfGBhbM2sg9jw+iWs2iba4cxyF+\ncyrvzUuiTLSPP17enK71KxfonJGeTyRQRuZTRmZTPu4p6lUxYyzL+hQ4tURZ6bOOHdu2bw/66iIi\nUiw4jsNPk1eyfuUu7v39YCpWLro5bY7jsCD5IO/NScLvODzSrzG9G1UJ+WqbIiIi+VHQO3Z5zbF7\nCdhy2q//A5LOekwE0JjscKCMzBeJGfn9ASaNX8KWDXuLvKlbvuMQv52wnH/O3Mzt3esz7vau9Glc\ntdCaukjMJ9IoI/MpI7MpH/f4fEW4KqZt238O+swiIlLsZWX5sT+eT0Z6Fvc8PoiSMdFFcp21e47y\n3twkth86wX29GnJlqxr4XNjkXEREJFgFXRUzr+0O+uV1Atu2Zwd9dYkoGpNtPmVkvkjKKP1kFuPf\nm03psiW5/cH+REX7Cv0aifvTeH9uEutSjnF3zwZc07Ym0b6i27wskvKJVMrIfMrIbMrHPTlDMYtu\njt3nwIXOXhEoDRT+39QiIhLW0o6mM/bteOo0qMLwGzvj9RZus7X90Ak+mLeVJdsOcnu3+vzv1a2J\nKYLGUUREJFSKdB8727br2LZd9/RfQGfgm9yXvBf0lSXiaEy2+ZSR+SIho0MHjvPh6zNo3rYW19zU\npVCbuj1HTvLXH9Zz9/hlNKxSmq/v7cktXeuFrKmLhHwinTIynzIym/Jxj7co59idzrKsisAzwAPA\n10Bb27aTg76yiIhEnL27jzD27Xj6DG5Br0HNC+28qWkZfLJwGz+uT2Fkh9p8PboH5Ytovp6IiIgb\nvF4vgYCD4zhBLfqVZ2NnWVZZ4AngcWA60M227Y35vpJEPI3JNp8yMl84Z7Q9KZXP3pvNsOs60aFb\ng0I55+GTWYxbvI1Jq3ZzVeua2Hf3oHKZEoVy7mCEcz7FhTIynzIym/Jxj9frwePxEAg4+HyF3NhZ\nlvUU8DQwHxho2/bK4MoUEZFItmntbr4cs5Dr7uhB8za1Cny+tIxsPl+6HXv5TmKbV+PzO7tRvVxM\nIVQqIiJiLp/PQ8AfwBfEQmB5veMVcjYjrwy8bVnWnLN+aUVM+YXGZJtPGZkvHDNauSSZ/45dyK33\n9y1wU5ee5efTRdsY+dECdh1OZ8ytXfjj5S2MaerCMZ/iRhmZTxmZTfm4qyArY+Y1FPPu3N8dchq8\nswW/HqeIiIS9hfGb+PnHddz92CBq1K4Y9HkyswNMWrWbTxYm0752Bd67oRONqhbdRuYiIiImKsjK\nmB7HCZ/eLC4uzomNjXW7DBGRYs9xHGZOXcPKxcnc+ehAKlctG9R5sgMBpq5J4aMFW2lctSz392lE\ni+rlCrlaERGR8PC3p7/mkT8NpVyFUhd8TVxcHLGxsefcdMtrjl0XIMO27dW5x9WAN4A2wALg97Zt\npxWkeBERCS+BgMN3E5exfWsq9z05mLLlL/yXzwXP4ThM37CXD+Zt5bKyJfnrVa1pXyf4O34iIiKR\nwOfzBr3lQV5z7N4Aapx2/CHQFPiAnObu70FdVSKSxmSbTxmZz/SMsrP92B/PZ9+eI4z+3aB8N3WO\n4/Dz5v3cMmYxE5bt5A9DmvPuDR3DpqkzPR9RRuFAGZlN+bgrZyhm0cyxawnMAbAsqxIwDGhj2/ZG\ny7Imk3PX7oGgriwiImElIz2Lzz+YS3QJH3c8MoDofGwK7jgOi5IP8u7cJLL8Dg/0bUzfxlWC2qdH\nREQkUnkLcMcur8bOB2Tkft0dSDm1h51t2ztyNy0XAbTvSThQRuYzNaMTaRl8+u+fqVarAiNu7pqv\nZZgTdh7mnTlJHDieyW/7NGRw82p4w7ShMzUf+ZUyMp8yMpvycdep7Q6CkVdjtw6wgInAjcCMU09Y\nllUbOBzUVUVEJGwcOXSCT96aRYt2tbni2vaXfJdtXcpR3pubxLaDJxjdqyFDW1Unypv/fXlERESK\nC6/Piz9QNHPsngbetyzrEHA1OfvanXIDMC+oq0pE0phs8ykj85mW0f6Uo3zw2gw692zElb/pcElN\n3ZbUNJ6atJonv1lF38ZV+e89PRjepmZENHWm5SPnUkbmU0ZmUz7u8nqLaB8727bnWpZVD2gGbLRt\n+9hpT08FJgR1VRERMd7ObQcY985sLh/Rns69GuX5+h2HTvDBvK0s3naQ27rV53+vakVMPubhiYiI\nFHcFGYqpfexEROQcWzakMPE/87n21m60al/noq9NOZrORwu2Er85lRs71eGmLnUpUyKvkf4iIiJy\ntg9fn8Hg4e1o2KzaBV8T1D52IiJS/KxZvoMpXyzhpnv7XPQvlgPHM/lkYTI/rEvh2va1+eqeHlQo\nFR3CSkVERCJLQVbFDP8JD2IMjck2nzIyn9sZLZmbyHf2Mu58dMAFm7ojJ7N4e/YWbvh4IR4PTLy7\nBw/3a1wsmjq385G8KSPzKSOzKR93+XyeItvuQEREigHHcfj5h3UsnbeF0U/EUrVauXNek5aRzRfL\ndjBx+U4GNr2Mz+7oRo3yMS5UKyIiEpm8Pq/m2ImISHACAYcfvl5B4voU7nxkAOUrlj7j+fQsP1+u\n2MVnS7bRrX5l7uvdkLqVSl/gbCIiIhKs8e/PoX3XBrTpVPeCr9EcOxEROYffH+DrcYs4uD+Ne58Y\nTKkyJX55Lssf4JuVuxmzKJk2NSvwzg0daVy1rIvVioiIRDZfAe7YaY6dFBqNyTafMjJfKDPKzMxm\n/HtzOHE8k7seG/hLU5cdCDBl9W5GfbSQuUmpvP6bdrx6bVs1degzFA6UkfmUkdmUj7u8Pk/QG5Tr\njp2ISDF08kQm496ZTaUqZRh5e/ecnxA6DjM27uODeVupUqYEL17Vig51KrpdqoiISLHhK8Cq/yL2\nvwAAIABJREFUmJpjJyJSzBw9cpIx/5pF42bVGXpdJzwemL0llffnbiXa5+HBvo3pVr8SHs85w/dF\nRESkCH0zfjG161WmW98mF3yN5tiJiAgH9h9jzFvxdOrViP5XtGTJ9kO8NzeJ9Cw/9/dpRL8mVdXQ\niYiIuMTrDX67A82xk0KjMdnmU0bmK8qMdu84xIevx9H38pZUblubB+wEXp2xkZs612X8nd3o3/Qy\nNXV50GfIfMrIfMrIbMrHXQVZPEV37EREioGtm/fxxQdz6Ty0NeP3Hidp3V7u7dWQYa1rEOXVz/hE\nRERMkNPYBTdVTnPsREQi3PqVO/nvp4s43qoWKzP83NWjAde2q0WJKDV0IiIiJvlxUgIlS0YzYGjr\nC75Gc+xERIqhGTM2MOu71ayrXZmRbWvx5451iIn2uV2WiIiInEdBVsXUj2ul0GhMtvmUkfkKK6O9\nx9L5y9s/88OUVdS6vDXjHu3Pbd3qq6krIH2GzKeMzKeMzKZ83OUtwFBM3bETEYkgB49n8snCZFbP\n2ki9rGwefeYK6tWq4HZZIiIicgl8Pi+ZGdlBvVdz7EREIsDR9Cw+W7Kdr1fspO/JDCr7A9zz6EBK\nly3pdmkiIiJyiebOWM/RwycZdl2nC75Gc+xERCLQ8cxsJizbwRfLdtK/YWVu8jp4S0Vz8319KBkT\n7XZ5IiIikg9er+bYiQE0Jtt8ysh8l5pRepaf8Uu2M/LDhWw9cIL3RrWj1qYUysREc9sD/dTUFRF9\nhsynjMynjMymfNyVs3iK5tiJiES8LH+Ayat288nCbbSqUY5/Wx2oUTKKsW/HU6dBFYbf2Bmv9qUT\nEREJS94CbFCuOXYiImHAH3CYti6FD+dvpV6l0tzfpxGta5bn0IE0PnkrnnZd6hN7dRs8nnOG3IuI\niEiYWL4giS0b93L9nT0v+BrNsRMRCUMBxyFu4z4+mLeVSqWjeWFoSzrVrQTA3l2HGfvvn+k7pCU9\nBzZzuVIREREpqIJsd6DxOlJoNCbbfMrIXNNmzGTk6EfpO/IORo5+lO+nxzFnSyq3fbqEcUu288Sg\nprx/Y6dfmrrtSan8582ZXHFtezV1IaTPkPmUkfmUkdmUj7t8Pi+BQHBDMUNyx86yrBjgZ6AkUAKY\nbNv2Hy3LqgxMBOoDyYBl2/bhUNQkImKKaTNm8sK7n+P0uBmAHcCDf/+EBh178efR19G/SdUzhlhu\nWrub/45ZyKg7etC8TS2XqhYREZHC5vV5zF4V07btdGCgbdsdgHbAQMuy+gDPANNt224GxOUeS5ga\nMGCA2yVIHpSRmT6cMOmXpu6Uy4bcReUDGxjQ9LIzmrqVi5P579iF3PpAPzV1LtBnyHzKyHzKyGzK\nx10FWRUzZEMxbds+kftlCcAHHAKuAcbmPj4WuDZU9YiImOJE9vm/gWed9QO7BbM28eOkldzz2CDq\nNaoagspEREQklHwFWBUzZI2dZVley7ISgL3ALNu21wLVbdvem/uSvUD1UNUjhU9jss2njMwScBy+\nTtjFut3nH4FeIvc7tOM4zPh2NQviN3Hv72OpXrtiCKuU0+kzZD5lZD5lZDbl4y6v1/ChmAC2bQdy\nh2LWAfpZljXwrOcdIM/7jqf/YYuPj9exQccJCQlG1aPjc48TEhKMqqc4H382dRbXvTuL79el8Px9\nN5I+6z+c7uTMj+jeqiGBQIApE5aydP4G2vQsRaUqZY2oX8c61rGOgz3WvxfMPlY+7h6vWr2KQwcP\nXfT1F+LKPnaWZf0PcBIYDQywbTvFsqya5NzJa3Gh92kfOxEJd8fSs3hv7lZmbNzHw/0bc1XrGng9\nHqbNmMlHEyaTGci5Uzf6xhEMGdCf/45ZSNqxdG69vx8xpaLdLl9ERESK0PakVKZ+uZwH/nD5BV/j\n6j52lmVVBbJt2z5sWVYpYAjwF2AKcAfwSu7vk0JRj4hIqDmOww/r9/JWfCJ9G1fFvrs7FU5r1IYO\nHsTQwYN+Oc5Iz2LcO7OJLhHFHQ8PIDra50bZIiIiEkI5i6eYPRSzJjAzd47dIuBb27bjgJeBIZZl\nbQIG5R5LmLrYrWExgzJyR1LqcR6YuILxS7bz92vb8uwVLc5o6k4XHx/PibQMPn5zFhUqleame3ur\nqTOIPkPmU0bmU0ZmUz7u8vk8QS+eEpI7drZtrwY6nefxg8DgUNQgIhJqJzP9fLRgK1NW7+HeXg0Z\n1aE2Pu85IyfOkH7Czwevz6Blu9pcfm37M7Y6EBERkcjmLcAdu5A0dlI8aN8T8ymj0HAch58TU3l9\n5iY61K7IF3d2o2rZknm+b3/KUVbPS6PnwGb0GdwyBJVKfukzZD5lZD5lZDbl4y6vz0sgENwaKGrs\nREQK0c7DJ3k9bhM7D5/khaGt6FKvUp7vCQQCLJ6dSNzUNQwd2YFOPRuFoFIRERExTUGGYoZsuwOJ\nfBqTbT5lVHQyswP8Z8FW7vxsKe3rVODzO7tdUlO3PSmVd17+iTXLdzD6d7EczdgegmolWPoMmU8Z\nmU8ZmU35uCtnKKbu2ImIuGJR8kFenbGRhlXKMO62LtSsUCrP9xxPy+CnSSvZuGY3Q0d2oF3X+ng8\nHtZvCkHBIiIiYiSfN/g5dq7sYxcs7WMnIibZdyyDN+I3s3bPUZ6MbUbfxlXzfE8g4LB03hZmfLuK\n9l0bEHt1G2JKlQhBtSIiImK6k8czee1/pvA//7jugq9xdR87EZFIkh0IYC/fyccLtzGqQ22ev7Il\nMZewJcHObQeY8sVSoqK83PXoQGrWyXuopoiIiBQfXp/H+H3spBjQmGzzKaOCW7nzMLd/upR5SQf4\n6OZOPNCnUZ5N3YnjGUz+fAnj3plNj/5NGf3E4As2dcrIbMrHfMrIfMrIbMrHXT6fl4Dm2ImIFJ3D\nJzL51+wtLNh6gMcHNmVI82p57jEXCDisWLiVnyavpHXHujz+/FWUKqNhlyIiInJ+p/axcxwn33vZ\nqrGTQqN9T8ynjPIv4DhMXrWbd+cmcWXLGth396Bsyby/de7ecYhvJyzFCTjc/lB/aterfEnXU0Zm\nUz7mU0bmU0ZmUz7u8no9eDweAgEHn0+NnYhIodi49xgvT9+IxwP/uq4DzauXy/M96SczmTFlNauW\nbWPINe3p3KsRXm/+vjGLiIhI8XVqLzufL3+z5jTHTgqNxmSbTxldmrSMbF6L28Sj/03gN+1r8dHN\nnfNs6hzHYcWirbzxl+/Jzvbz+PNX0bVP43w3dcrIbMrHfMrIfMrIbMrHfcHuZac7diIiuRzH4cf1\ne3kzPpE+jasy8e4eVCwVnef79u46zJSJS8nM8HPL/X2p26BKCKoVERGRSOT1eggE8r8ypho7KTQa\nk20+ZXRhyQeO88qMTRxNz+KVEW1pV7tCnu/JSM8i7rvVJCxKJvbqtnTt2xivt2ADIZSR2ZSP+ZSR\n+ZSR2ZSP+3JWxlRjJyKSL+lZfj5emMw3K3dzT88GXNexNlF5NGeO47B66Xamfb2CJi1r8NjzwyhT\nLiZEFYuIiEgkC3YopubYSaHRmGzzKaMz/Zy4H+vjRew+ks4Xd3bjxs5182zq9u05wsdvzuLnn9Zx\n4+jejLq9R6E2dcrIbMrHfMrIfMrIbMrHfb7cLQ/yS3fsRKTY2X3kJK/FbWb7oRM8d2ULutXPeyuC\njPQsZk1by7L5SQwc2pru/Zvme7UqERERkbycWhUzvzyOE9zO5m6Ii4tzYmNj3S5DRMJUZnaA8Uu3\nM37pDm7pUpdbutSjRFTewy7XrtjJ9/9dTsOm1bhyZAfKVSgVoopFRESkuHnjL1O56d4+VK91/vn+\ncXFxxMbGnrPstu7YiUixsHjbQV6dsYl6lUrz6W1dqHUJzVnqvmN8O2EpRw+f5Pq7etKwabUQVCoi\nIiLFWbBDMTWOSAqNxmSbrzhmlJqWwXPfreWlHzfwSP/G/GNkuzybuszMbKZPXsX7r/5E01Y1ePhP\nV4asqSuOGYUT5WM+ZWQ+ZWQ25eM+r1bFFBH5VXYgwH9X7OI/C5L5TftaPHdFC2KifRd9j+M4rF+1\ni++/XE6dBlV4+LmhVKhYOjQFi4iIiJAzxy6YO3aaYyciEWf17iO8PH0j5WOi+cPgZjSoUibP9xzc\nn8Z39jIOpqYx/IbONG5RIwSVioiIiJzpw9dnMHh4Oxo2O/9oIc2xE5GId/hkFm/PTmR+0gEeG9CE\ny1tUx+M55/veGbKy/Mz+cR0L4zfRd0hLbv5tH6KiLn5nT0RERKSoeL3B3bHTHDspNBqTbb5IzSjg\nOExetZsbPl5ITJQP++4eXNGyRp5N3cY1u3nrf79n7+4jPPTslfS7opXrTV2kZhQplI/5lJH5lJHZ\nlI/7vD4vgYDm2IlIMbNp3zFenr4Rx4G3rutA8+rl8nzPoQPHmfrlcvbtPszwGzrTrHWtEFQqIiIi\nkrecVTHzP11Oc+xEJCylZWTzwbyt/Lg+hfv7NGJEu1p487hDl53lZ+6MDcyL20CvQc3pM6Ql0Xks\nqCIiIiISSp+9N4eO3RvQumPd8z6vOXYiEhEcx2H6xn28OSuRng0rM/Gu7lQsXSLP9yWu38O3E5ZR\ntUZ5HnjmCipXLRuCakVERETyJ9hVMTXHTgqNxmSbL9wzSj54nIe/TGDMwm387Zo2PHdlyzybuiOH\nTvDFh3OZNH4JQ6/ryG0P9DO6qQv3jCKd8jGfMjKfMjKb8nGfT/vYiUikSs/y88nCZL5auZu7ezTA\n6lSbKO/Ffy6Vne1nwcxNzP5pHT0GNOO6O3oQXULf8kRERMRsXs2xE5FINGdLKq/FbaJ1zfI8PqAp\n1cqVzPM9SRv3MmXCUipVKcPVVmeqVMt7QRURERERE3zz2WJq169Mt75Nzvu85tiJSFjZc+Qkr8/c\nzNYDx3n28hZ0b1A5z/ccPXyCaV8lsD0plauu70TL9rXz3PJARERExCRenyeooZiaYyeFRmOyzRcO\nGWX5A4xZlMxt45bSskY5vrize55Nnd8fYF7cBv7112lUqlqGx54fRqsOdcKyqQuHjIoz5WM+ZWQ+\nZWQ25eO+nO0ONMdORMLY0u2HeGX6RupULMXYW7tQu2KpPN+TvHkfUyYupWy5GO57cgiX1SgfgkpF\nREREikbO4imaYyciYSg1LYM34xNJ2HWYJwc1o1+TqnnebUs7epIfvk4gadM+ho7qSJtOdcPyDp2I\niIjI6X78JoGYUtH0v7L1eZ/XHDsRMY4/4PBVwi4+nL+VEe1qYV/eg1IlLr5huN8fYPGcRGZOXUPn\nng157PlhlIyJDlHFIiIiIkUr2FUxNcdOCo3GZJvPpIzW7D7CHeOWMHPTPt6/sRMP92ucZ1O3PSmV\nd1/+kbUrdjD6d7FcObJjxDV1JmUk51I+5lNG5lNGZlM+7tMcOxEJC0dOZvHOnC3MTkzl0QFNuLJl\n9TyHUB4/ls6Pk1ayae0eho7sQLuu9TXsUkRERCKSz+chKzP/jZ3m2IlISAQch+/W7OHfs5MY0qIa\nv+3dkHJ53G0LBAIsnZfEjCmraN+tAbFXtyWmVGTdoRMRERE53Zzp6zl25CTDrut03uc1x05EXLN5\nXxqvzNhIdsDhzeva06J63huG70w+wJQJS4mK8nH3YwOpUadSCCoVERERcVewq2Jqjp0UGo3JNl+o\nMzqemc0/Z23moS9XMKx1DT6+pXOeTd2J4xlM+nwJ496dTY/+Tbn397HFqqnT58hsysd8ysh8yshs\nysd9Xs2xExFTOI5D3Kb9/HPWZrrXr8zEu7pTqXSJi74nEHBYviCJ6VNW0bpjXR5/4SpK5fEeERER\nkUjj83mCauw0x05ECtX2Qyf4+4xN7E/L4JkhzelQp2Ke79m94yDfTliGE3AYflMXaterHIJKRURE\nRMyzfEESSRv3ct2dPc/7vObYiUiRSs/yM3bRNr5M2MVd3etzQ6c6RPkuPtr75IlMZny7itXLtnP5\niPZ06tkIr1erXYqIiEjxpX3sxHUak22+ospoXlIqN36yiOSDJxh/R1du6Vrvok2d4zisWLiVN/4y\nFX92gMefv4ouvRurqUOfI9MpH/MpI/MpI7MpH/f5fF4CAc2xE5EQSjmazuszN7Nlfxp/GNKcng2r\n5P2eXYeZ8sVSsrL83PpAP+o2yPs9IiIiIsWF1+sJ6o6d5tiJSL5l+wN8vnQHny7Zzg2d6nB7t3qU\njPJd9D3pJ7OYOXU1CYuSiR3elq59GuP1atCAiIiIyOnWr9rFkjmJ3P5Q//M+rzl2IlIolu04xCvT\nN1GzfAxjbulMnUqlL/p6x3FYtXQb075KoFnrmjz2/DDKlIsJUbUiIiIi4SXYVTH143IpNBqTbb6C\nZHTgeCYvTF3HC1PX8UCfRrwxql2eTd2+PUf4+I2ZzP5pPTfd25uRt3VXU5cHfY7MpnzMp4zMp4zM\npnzcl7NBucFz7CzLqgt8ClQDHOAD27bfsiyrMjARqA8kA5Zt24dDVZeIXJw/4PD1yl18OH8rw9vU\nxL67O6VLXPxbR0Z6FrO+X8OyBVsZNKwN3fo1wZfHCpkiIiIiEh6rYmYBv7NtuzXQA3jIsqyWwDPA\ndNu2mwFxuccShgYMGOB2CZKH/Ga0ds9R7vpsKdM37OPdGzrySP8mF23qHMdh9bLtvPni9xw7ms6j\nzw2l58BmauryQZ8jsykf8ykj8ykjsykf9xl/x8627RQgJffrNMuy1gO1gWuAUzMDxwLxqLkTcdXR\n9CzemZNE/Ob9PNq/MUNb1cDjufhWBPtTjvKdvYyjh09y/V09adi0WoiqFREREYkc3nCaY2dZVgOg\nI7AIqG7b9t7cp/YC1d2oSQpOY7LNl1dGjuMwdc0erI8X4QHsu7szrHXNizZ1mZnZ/DR5JR+8Np2m\nrWry8J+uVFNXAPocmU35mE8ZmU8ZmU35uM/n8+IPh33sLMsqC3wFPGbb9jHLsn55zrZtx7Ksiw4o\njY+P/+UW8ak/eDo24zghIcGoenR87nFCQsIFn5/w/Sy+3uYQU7Yc/xjZjn0blrN84Z4Lvn7WrFns\n35XBtvWZ1GtUlc6xFcmOSsHna2HM/99wPD7FlHp0fObxKabUo2Mdh+Ox/r1g9rHycf847UgWgdw5\ndhd6/fmEdB87y7Kige+AabZtv5H72AZggG3bKZZl1QRm2bbd4nzv1z52IoXvRGY2H85PZuraPfy2\ndyOubVcLn/fiwy4P7D/Gd/ZyDqWmMfyGzjRuUSNE1YqIiIhEttR9xxj7djy/f3H4eZ93fR87y7I8\nwH+AdaeaulxTgDuAV3J/nxSqmkSKM8dxmLVpP/+YtZku9Sox4c7uVC5T4qLvycrMZvZP61kYv4m+\nl7fklt/2ISqPjclFRERE5NL5fB6zF08BegO3Aqssy1qR+9gfgZcB27Kse8jd7iCENUkhio+P/+U2\nsZhl2oyZfDhhEvsPHuGyyhX4zVVDWeKvyd5jGbx4VSs61a2U5zk2rN7FVHs5tepV4qFnr6Ri5TIh\nqLz40efIbMrHfMrIfMrIbMrHfV5vcNsdhHJVzLlceLGWwaGqQ6S4mTZjJi+8+zlOj5sB2AE88++P\nufk3wxl///VE5bEVwaEDaUz9cjn79hzlmpu60LRVzRBULSIiIlI8hcMdO4lw+umOmT6cMOmXpu6U\nWlfcTdKKyUT5brjg+7Kz/MyZsYH5cRvoFduCG+/pTVS0hl0WNX2OzKZ8zKeMzKeMzKZ83JezQbka\nOxE5S1bg/AuhZF7k+8XmdXv4duIyqtUsz4N/vIJKVcoWUXUiIiIicjqfz0sgkP+hmBcfgyWSDxdb\nflXc4+P8HVyJ83z6Dx88zucfzGXKF0sZdl1Hbr2/n5q6ENPnyGzKx3zKyHzKyGzKx33B3rFTYycS\nwRzHoXyzLhyMG3PmEwvGM/rGEb8cZmf7mf3jOv79tx+oXqsCj/7PUFq0rR3aYkVEREREc+zEfRqT\nbZ6vEnaRWb0Frz9Wi3FfTSYzkHOnbvSDtzB08CAAtmxI4duJy6hUtSz3/+FyqlxWzuWqizd9jsym\nfMynjMynjMymfNzn9ebcewsEAr98fSnU2IlEqJW7jvDB/K385+bO1K1UmmuHDjnj+SOHT/DDVyvY\nnnSAq6xOtGxXG4/n4huTi4iIiEjRyxmO6ZCPvk5DMaXwaEy2OVLTMnh2yhqev7IldSuV/uXx+Ph4\n/P4Ac2ds4O2/TqNS1bI89sIwWrWvo6bOEPocmU35mE8ZmU8ZmU35mMHn8+Z7OKbu2IlEmCx/gD9M\nXsO17WvRp3HVM547tC+Df//tB8pVKMVvnxpC1erlXapSRERERC7E6/XkewEVNXZSaDQm2wz/mLmZ\niqWjuadnAwACAYfE9XtY9HMie3amM+y6jrTuWFd36Aylz5HZlI/5lJH5lJHZlI8ZdMdOpJj7ds0e\nFm87xNjbunDiWDrLFmxlyZxESpUuQbd+Tbnhnl6UKKmPvYiIiIjJvD4v/nzuZac5dlJoNCbbXetS\njvLWrM080b4m341bxD//PJUD+45x4+jePPTslXTt05j5C+a6XabkQZ8jsykf8ykj8ykjsykfMwSz\n5YF+dC8SAfakpvHqR/MYcCKTpdOO0a1vU0bc3JVSpUu4XZqIiIiI5NOpVTHzQ42dFBqNyQ4tx3HY\nue0gC3/exPIl22lcpyK33NWT+k0uu+D8OWVkPmVkNuVjPmVkPmVkNuVjBs2xEykGMtKzWLlkG4vn\nJJJxMouMWhU53rMxf72pMz6vFkQRERERCXdeX/5XxdQcOyk0GpNdtFJ2HmLyF0v4+5+msGntHq64\ntj1tbu7KIp+PF0e2v6SmThmZTxmZTfmYTxmZTxmZTfmYwef1arsDkUiSleVnzfLtLJ6dyOGDx+nS\nuzGPPDeUCpVKk7g/jdcmruDt6ztQsVS026WKiIiISCHJGYqpOXbiEo3JLjype4+yeE4iKxYlU7te\nJfoOaUnztrXw+XJush9Nz+KpSat5YlBTmlcvd8nnVUbmU0ZmUz7mU0bmU0ZmUz5myFk8RXfsRMKS\n3x9g/cqdLJ6dSMruw3Tu2Yj7nx5ClcvObNwCjsPzU9fRp3EVhraq4VK1IiIiIlJUgtnuQHPspNBo\nTHZwDh88zvTJq3j12cksiN9E596NePqlEVzxmw7nNHUAH8zbysksP4/1b5Lvaykj8ykjsykf8ykj\n8ykjsykfM+iOnUiYCAQCbFq7h8VzEtmelEqHbg245/FBVKtZ4aLv+3nzfr5bs4ext3Ulyqefy4iI\niIhEIl8Q+9h5HCd/b3BTXFycExsb63YZIkE7duQkS+cnsXRuImXKxdCtXxPadalPiRJ5/4wl+eBx\n7vtiOf8c2Z7WNcuHoFoRERERccNn782mY4+GtO5Q95zn4uLiiI2NPWc5dN2xEylijuOQtHEvi+ck\nkrg+hTad63HzfX2pXb/yJZ/jeGY2T09azYN9G6upExEREYlwwayKqbFcUmg0JvtMJ9IymDtjA2/8\neSpTv1xOw6bVeOqla/jNLd3y1dQ5jsNfvl9Ph9oVubZdrQLVpIzMp4zMpnzMp4zMp4zMpnzM4NU+\ndiLuchyHHVsPsHj2Ztav2kWLtrUZeXt36jWqiseT9wbi5zNm0TZS0zL469WtC7laERERETFRMKti\nao6dSCFIP5nFysXJLJ6TSFZmNl37NqFTz0aUKVuyQOddsPUAL05bz9jbulKtXMHOJSIiIiLh4etx\ni6jbsApd+5y7Crrm2IkUgd07DrF4TiKrl26jcYsaDB3VkUbNq+P1Bnd37nQ7D5/kz9+v4+URbdXU\niYiIiBQjwayKqTl2UmiKy5jszMxsli9I4r1XfuKzd2dTvmIpHnt+GDff14cmLWsUSlOXnuXn6Umr\nubtnAzrWqVgIVecoLhmFM2VkNuVjPmVkPmVkNuVjhpzFUzTHTqRI7E85yuI5iSQs2kqdhlXpP7Q1\nzVrXxFfI+8k5jsNff9xA08vKYnWsU6jnFhERERHzeX2efC+eojl2IheRne1nXcJOFs9JZH/KUTr3\nakTXPo2pVKVskV3z86U7+H7tHj66uTMx0b4iu46IiIiImOnHbxKIKRVN/yvPXTxPc+xE8uFgahpL\n525h2YIkqtUoT/d+TWnZvjZRUUXbaC3bfoixi7bxya1q6kRERESKK6/m2Imbwn1Mtt8fYP3KnYx9\nO553X/6R7Gw/o38Xyz2/i6Vt53pF3tSlHE3nue/W8uJVrahVoVSRXCPcMyoOlJHZlI/5lJH5lJHZ\nlI8ZchZP0Rw7kXw5evgES+clsXTeFspXLEW3vk24+b4+RJcI3ccjI9vPHyav5qbOdene4NI3LxcR\nERGRyOP1esjK0hw7kTwFAg5JG1NYPDuRLRv30q5Lfbr2bUKtupVCXovjOLz04waOZ/r52/DWQW9k\nLiIiIiKRYc5P60k7ls7QUR3PeU5z7ESA42kZLJ+fxOK5iZQoEUW3fk0YdUcPSsZEu1bTNyt3s2r3\nUcbc2llNnYiIiIgEtSqm5thJoTF1TLbjOCQn7sf+ZD7/eP5b9u45wvV39uThP11J935NXW3qVu06\nwnvzkvj7tW0pHYKhn6ZmJL9SRmZTPuZTRuZTRmZTPmbQHDuR06SfzGTFomQWz04k4A/QrV8TrrY6\nU7pMSbdLAyA1LYM/TlnD/1zZkvqVS7tdjoiIiIgYwuvzEsjnqpiaYycRZ9e2gyyek8ia5dtp2qom\n3fo2oWGzakYNc8zyB3hw4gq61q/Efb0buV2OiIiIiBhk2fwktm7ex3V39DjnOc2xk4iWmZHNqmXb\nWDw7kePHMujapzGPv3AV5Ypo24CCemNWImVjohjdq6HbpYiIiIiIYXw+DwHNsRO3uDEme+/uI3w3\ncRmv/mky6xN2EXt1W37/v1czYGhrY5u6qWv2sDD5AC8Oa4U3xHcRNW7efMrIbMrHfMrIfMrIbMrH\nDF7NsZPiIDvLz9qEHSyenUjqvmN06d2Yh5+9koqVy7hdWp427D3GG/GJvHdjR8q5uGjMYIeWAAAb\nyElEQVSLiIiIiJgrZ/GU/E2ZU2MnhWbAgAFFev4D+4+xZO4Wls9PokbtivQc2JyW7Wvj84XHjefD\nJzJ5etJq/jCkOY2rlnWlhqLOSApOGZlN+ZhPGZlPGZlN+ZghZ/EU3bGTCOL3B9i4ejeLZm9m945D\ndOrRkPueHEzV6uXdLi1fsgMBnv12LUNaVGNw82pulyMiIiIiBvP5PAQCmmMnLinMMdlHDp0g7rvV\nvPbcFOZMX0/H7g14+m8jGDqqY9g1dQDvzE7C44EH+rq7AqbGzZtPGZlN+ZhPGZlPGZlN+ZjB69VQ\nTAljgYDDlg0pLJq9meTN+2nXpT53PNSfGnUquV1agUzfsJe4TfsYe1tXorz6WYqIiIiIXJwviKGY\n2sdOXJd2NJ3lC5JYPCeRmNIl6N6vCe261KdkBCwukrg/jQcmruDt6zvQvHo5t8sRERERkTCwbct+\npn21gvufvvyc57SPnRjFcRySE/ezePZmNq3dQ6sOdbhhdG/q1K9s1EbiBXEsPYunJ63mdwObqKkT\nERERkUsWzKqYGhcmheZSxmSfPJHJ/JkbefPF75n8+RLqNqzKk/97DaNu70HdBlUipqkLOA7/M3Ud\nvRpVYVjrmm6X8wuNmzefMjKb8jGfMjKfMjKb8jGD0atiWpb1MXAVsM+27ba5j1UGJgL1gWTAsm37\ncKhqktBwHIed2w6yePZm1iXspFnrmoy4qSsNml4WMY3c2T6ct5UTmdk8PqCJ26WIiIiISJjxBbFB\neSjv2H0CXHnWY88A023bbgbE5R5LmDp735OM9CyWzE3knf/7kYkfzeOy6uX53Z+v5oZ7etOwWbWI\nbep+TtzPlDV7+NvwNkQZtsee9qYxnzIym/IxnzIynzIym/Ixg8/nMfeOnW3bcyzLanDWw9cA/XO/\nHgvEo+Yu7KXsOszi2YmsWrqNBk0vY8iIdjRpWROvNzIbudMlHzzOSz9u4PXftKNq2ZJulyMiIiIi\nYcgbhnPsqtu2vTf3671AdTeLkeA5jsMXY6fxwWvTGfOveMqUK8kjzw3l1vv70ax1rWLR1B3PzObp\nSau5v08j2taq4HY556Vx8+ZTRmZTPuZTRuZTRmZTPmYwfSjmRdm27QB5tqWn/2GLj4/XsSHHi2cn\nsn55KhVr+HnqpWuIvbotK1YuNqa+oj52HIdHPp3NZZ4TjGxf2/V6LnSckJBgVD061rGOdazj4nec\nkJBgVD06Vj4mHp8ainm+5y8kpPvY5Q7F/Pa0xVM2AANs206xLKsmMMu27RYXer/2sTNT6t6jvP/3\n6dz35BAuq1He7XJcMWZRMvGbU/ngxk6UiDLm5yUiIiIiEoZOHM/gH89/x3OvjzrnuQvtY+f2v0Cn\nAHfkfn0HMMnFWiQIfn+AL8csZNDVbYttU7dw6wEmLtvJKyPaqKkTERERkQLzeg0eimlZ1hfAfKC5\nZVk7LMu6C3gZGGJZ1iZgUO6xhJGff1hHTKlouvdretFbw5Fq1+GTvPD9Ov46vDXVy8W4XU6eimNG\n4UYZmU35mE8ZmU8ZmU35mMH0VTFvusBTg0NVgxSunckHWPjzJh569spisTjK2dKz/Dw1aTV39mhA\n57qV3C5HRERERCJEOK6KKWEqMzObLz9ZwPAbulChYmmgeO174jgOL/24gcZVy3Bjpzpul3PJilNG\n4UoZmU35mE8ZmU8ZmU35mMHr9eA4DoHApTd3auwkKD98nUDt+pVp27me26W4YsLynSQdOM6frmgR\nsRuti4iIiIg7PB4PPp83X8Mx1dhJvm1et4cNq3Yx/IYuZzxeXMZkL9txiDELk3l1RFtion1ul5Mv\nxSWjcKaMzKZ8zKeMzKeMzKZ8zOH1efK1gIoaO8mXE2kZfD1uEaNu706pMiXcLifk9h5L57lv1/KX\nYa2oXbGU2+WIiIiISITKuWOnoZhSBBzHYcqEpbTpVI/GLWqc83ykj8nOzA7wzOQ13NC5Dj0aVnG7\nnKBEekaRQBmZTfmYTxmZTxmZTfmYI2cBFd2xkyKwask2UnYd5vIR7dwuxRV/j9tEtXIluaNbfbdL\nEREREZEI5/N58QfU2EkhO3zwOFO/XM71d/UkusT5d8mI5DHZ36zcxcpdR3h+aMuwXiwlkjOKFMrI\nbMrHfMrIfMrIbMrHHPndyy5k+9hJ+AoEHL76dBG9BjWndr3KbpcTcmt2H+HduUl8eFNnylygqRUR\nERERKUxezbGTwrZg1kays/z0vbzlRV8XiWOyDxzP5A9T1vCnK1pQv3Jpt8spsEjMKNIoI7MpH/Mp\nI/MpI7MpH3N4vVoVUwrRvj1HiJ+2luvu6IHPV7z+uGT7A/xxymquaVOT/k0uc7scERERESlGtI+d\nFJrsbD/2Jwu4/Nr2VKlWLs/XR9qY7DfiEylTIop7ezd0u5RCE2kZRSJlZDblYz5lZD5lZDblY46c\nVTEvfSimJgzJBc2cuobyFUvRpXdjt0sJue/XpjA/6QBjb+uC9//bu/MoqapzjcO/7mIGGRQUFAwS\nITIoDgiYGFEbp6jggF8kyqDJNYmJ3pUbg1HUeGOi0eSa4RqTm6XGITHmEwQxikKIGkwAUUBAELUR\nEEEGBQSkpZuu+8c5rWXRDd3SXWdX1/us1cs6Q9X5ql9rdW32Pnvn8WQpIiIiIpKfUlruQOrDytIN\nvPzv5Vxw6cBazwLZWMZkL1u3lV8++wZ3nHck+7VomnQ59aqxZNSYKaOwKZ/wKaPwKaOwKZ9w1HVW\nTDXsZDcflZUz4f7ZDBs5gDZtWyZdTk5t3lHOuMcXMW5oLw7v1CbpckRERESkQGmBctlnT02cT/ee\nneh7dLc6PS/fx2TvqkxzwxOLKel1IKcdcVDS5TSIfM+oECijsCmf8Cmj8CmjsCmfcKRSxVRWarkD\n+YyWLnyH0qXvcvZFxyVdSs7dPbOUyjRceVKPpEsRERERkQKnHjv5zLZvLePxh+dy4ZjBtGhZ93vL\n8nlM9oxl65n+2npuPbcvTYob78cinzMqFMoobMonfMoofMoobMonHKlU3dax06yYAkA6nWbSn+dy\n9KDuHNbzwKTLyanSjdv42fRl/GZEf9q3apZ0OSIiIiIi8Tp2GoopdTRv1lts2riNoecc+ZlfIx/H\nZG8tK2fc5EX858mH07tz26TLaXD5mFGhUUZhUz7hU0bhU0ZhUz7hKC7WAuVSR+9v3MbTkxZw0WUn\n0KRpKulycqYyneamp5YwqPv+nNOvS9LliIiIiIh8rLiOQzHVsCtwlZWVTHxgNied3pvOh7Tfp9fK\ntzHZ9/57BVvLKvjeKT2TLiVn8i2jQqSMwqZ8wqeMwqeMwqZ8whEtUF77oZi6x67AvfD31ygqKuJL\nJV9IupScmlm6kckL1/DAqAE0TenfN0REREQkLMUpDcWUWlq7ehMzp7/GhWMGU1wPM0Hmy5jsVZs+\n5Janl3LbsH50bNM86XJyKl8yKmTKKGzKJ3zKKHzKKGzKJxx1nRVTDbsCVV6+i0fvn8VZFxxNhwNa\nJ11Ozny4s4JrJi3im1/qwVGHtEu6HBERERGRakULlNe+YVeUTtd+3GbSZsyYkS4pKUm6jEZh6sT5\nbNq4jZFXnEhRUVHS5eREOp3muimLad28CTeccUTBvG8RERERyT9PT1pAy1bNGHJGn0/tnzFjBiUl\nJbt9kVWPXQFa/vo6Xpm7kuGXDCyoxs1DL65i7QdljBvaq6Det4iIiIjkn1RxsYZiSs3Kduxk4gNz\nOO+S42ldz/eXhTwme86K93n45be5ffiRNG9SOEs6ZAs5I4koo7Apn/Apo/Apo7Apn3AUp4o0eYrU\n7G8+j559u3DEkYckXUrOrNmyg5ueXMJPz+lL57Ytki5HRERERGSvouUO1LCTaiye9zarSjdw1gVH\nN8jrh7juSVn5LsZNXsSYQYdy3KEdki4ncSFmJJ+mjMKmfMKnjMKnjMKmfMKRShVTWYd17NSwKxAf\nbNnBlEfmMmLsCTRv0TTpcnIinU5z27RldD+gNSOP65Z0OSIiIiIitaahmLKbdDrNpD+9yPEnHs6h\nPTo22HVCG5Pt81fzxoZtmgEzQ2gZye6UUdiUT/iUUfiUUdiUTziKU8XsqkOPXZMGrEUCMfeFUrZ9\nUMapZ/dLupScmb96M/fNWsG9lwygRdPCnSxFRERERPJTKlXMrjqsY6ceu0Zu4/qtTJ+ykIvGDiaV\nati4QxmTvX7rR1w/ZTE/+kofurZvmXQ5QQklI6mZMgqb8gmfMgqfMgqb8gmHhmLKx3btqmTCH2dx\nyll9ObBLu6TLyYmdFZVc+/gi7NiufPGwA5IuR0RERETkM9GsmPKxfz6zhGYtmjD45F45uV4IY7J/\nMeN1OrZpzthBn0u6lCCFkJHsmTIKm/IJnzIKnzIKm/IJR6pYs2IKsHrle8x69nUuHD2Y4uLCmDhk\n8sI1zF+9mR+d1VuTpYiIiIhIXiuuY4+dJk9phMp3VjDh/tmcbcfSrkOrnF03yTHZi9ds4e6Zpfxh\n5LG0aa7/rWuicfPhU0ZhUz7hU0bhU0ZhUz7hSKWKNBSz0D0z+RW6dG1P/+O7J11KTry3fSc/nLKY\n8acfQff9WyddjoiIiIjIPitOFWvylEL25tK1LFmwmnMvHpDzaycxJrtiVyXXTVnM2f26MKRnp5xf\nP99o3Hz4lFHYlE/4lFH4lFHYlE84UnVcx04Nu0bkw+0f8dhDL3LBqIG0at086XJy4tfPv0nLpimu\n+OJhSZciIiIiIlJvUnXssdPNSI3IE4+8RJ/+XTm8d5dErp/rMdlPvfouL5S+xwOjBpAqkAli9pXG\nzYdPGYVN+YRPGYVPGYVN+YSjOFVEZaV67ArOK3NXsHb1Zk4/v3/SpeTEsnVb+eWzb/Dz846kbYum\nS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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dc082d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=plotsize)\n",
    "plot(ampR, snrR, 'o-')\n",
    "hold(True)\n",
    "plot(amp, snr, '-')\n",
    "peak_snrR, peak_ampR = peakSNR(snrR, ampR)\n",
    "msg = 'Peak SNR %.1fdB at amp = %-.1fdB' % (peak_snrR, peak_ampR)\n",
    "text(peak_ampR - 10, peak_snrR, msg, horizontalalignment='right', verticalalignment='bottom');\n",
    "figureMagic([-80, 0], 10, 1, [0, 80], 10, 1, None,'SQNR vs. Input Amplitude')\n",
    "xlabel('Input Amplitude (dBFS)')\n",
    "ylabel('SNR (dB)')\n",
    "title('Continuous-Time Implementation');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dynamic range scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Doing dynamic range scaling...  Done.\n",
      "During scaling, umax was found to be 0.78\n",
      "Scaled ABCD matrix:\n",
      "[[ 0.          0.          0.          0.16352917 -0.16352917]\n",
      " [ 0.29968151  0.         -0.01756681  0.         -0.26482216]\n",
      " [ 0.          0.32919873  0.          0.         -0.24341613]\n",
      " [ 0.          0.          2.75267892  0.          0.        ]]\n"
     ]
    }
   ],
   "source": [
    "print 'Doing dynamic range scaling... ',\n",
    "ABCDs, umax, S = scaleABCD(ABCD, nlev, f0, 1, None, None, 10000.0)\n",
    "S = S[:order, :order]\n",
    "Sinv = inv(S)\n",
    "Acs = np.dot(np.dot(S, Ac), Sinv)\n",
    "Bcs = np.dot(S, Bc)\n",
    "Ccs = np.dot(Cc, Sinv)\n",
    "ABCDcs = np.vstack((np.hstack((Acs, Bcs)),\n",
    "                    np.hstack((Ccs, Dc))\n",
    "                  ))\n",
    "sys_cs = (Acs, Bcs, Ccs, Dc)\n",
    "print 'Done.'\n",
    "print \"During scaling, umax was found to be %g\"% umax\n",
    "print \"Scaled ABCD matrix:\"\n",
    "print ABCDcs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##Conclusions: synthesis results\n",
    "\n",
    "The ADC parameters were found to be:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ABCD: \n",
      "[[ 1.          0.          0.          0.04440879 -0.04440879]\n",
      " [ 0.99903645  0.99710991 -0.0057774   0.02219369 -0.26000209]\n",
      " [ 0.49975909  0.99903645  0.99710991  0.00739932 -0.7967304 ]\n",
      " [ 0.          0.          1.          0.          0.        ]]\n",
      "ABCDc: \n",
      "[[ 0.          0.          0.          0.04440879 -0.04440879]\n",
      " [ 1.          0.         -0.00578297  0.         -0.23997612]\n",
      " [ 0.          1.          0.          0.         -0.67004645]\n",
      " [ 0.          0.          1.          0.          0.        ]]\n",
      "ABCDcs: \n",
      "[[ 0.          0.          0.          0.16352917 -0.16352917]\n",
      " [ 0.29968151  0.         -0.01756681  0.         -0.26482216]\n",
      " [ 0.          0.32919873  0.          0.         -0.24341613]\n",
      " [ 0.          0.          2.75267892  0.          0.        ]]\n",
      "L0: (array([], dtype=float64), array([-0.+0.07604585j,  0.-0.07604585j,  0.+0.j        ]), 0.044408785215249033)\n",
      "M: 1\n",
      "f0: 0.0\n",
      "form: FB\n",
      "ntf: \n",
      "(array([ 0.99710991-0.07597258j,  0.99710991+0.07597258j,  1.00000000+0.j        ]), array([ 0.66846011+0.j        ,  0.76451465-0.28005204j,\n",
      "        0.76451465+0.28005204j]), 1.0)\n",
      "order: 3\n",
      "osr: 32\n",
      "peak_snr: [[ 70.50168227]]\n",
      "sys_c: [(array([], dtype=float64), array([-0.+0.07604585j,  0.-0.07604585j,  0.+0.j        ]), 0.044408785215249033), (array([-0.17907424+0.18495835j, -0.17907424-0.18495835j]), array([-0.+0.07604585j,  0.-0.07604585j,  0.+0.j        ]), -0.67004645380658423)]\n",
      "sys_cs: \n",
      "(array([[ 0.        ,  0.        ,  0.        ],\n",
      "       [ 0.29968151,  0.        , -0.01756681],\n",
      "       [ 0.        ,  0.32919873,  0.        ]]), array([[ 0.16352917, -0.16352917],\n",
      "       [ 0.        , -0.26482216],\n",
      "       [ 0.        , -0.24341613]]), array([[ 0.        ,  0.        ,  2.75267892]]), array([[ 0.,  0.]]))\n",
      "tdac: [0, 1]\n",
      "tdac2: \n",
      "[[-1. -1.]\n",
      " [ 0.  1.]]\n",
      "umax: 0.78\n"
     ]
    }
   ],
   "source": [
    "adc = {\n",
    "    'order':order,\n",
    "    'osr':osr,\n",
    "    'M':M,\n",
    "    'f0':f0,\n",
    "    'ntf':ntf,\n",
    "    'ABCD':ABCD,\n",
    "    'umax':umax,\n",
    "    'peak_snr':peak_snr,\n",
    "    'form':form,\n",
    "    'ABCDc':ABCDc,\n",
    "    'tdac':tdac,\n",
    "    'tdac2':tdac2,\n",
    "    'L0':L0,\n",
    "    'sys_c':sys_c,\n",
    "    'ABCDcs':ABCDcs,\n",
    "    'sys_cs':sys_cs\n",
    "}\n",
    "for k in sort(adc.keys()):\n",
    "    print \"%s:\" % k,\n",
    "    if str(adc[k]).count('\\n'):\n",
    "        print \"\"\n",
    "    print adc[k]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### System version information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/json": {
       "Software versions": [
        {
         "module": "Python",
         "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]"
        },
        {
         "module": "IPython",
         "version": "3.2.1"
        },
        {
         "module": "OS",
         "version": "Darwin 14.4.0 x86_64 i386 64bit"
        },
        {
         "module": "numpy",
         "version": "1.9.2"
        },
        {
         "module": "scipy",
         "version": "0.16.0"
        },
        {
         "module": "matplotlib",
         "version": "1.4.3"
        },
        {
         "module": "deltasigma",
         "version": "0.2.2"
        }
       ]
      },
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]</td></tr><tr><td>IPython</td><td>3.2.1</td></tr><tr><td>OS</td><td>Darwin 14.4.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.9.2</td></tr><tr><td>scipy</td><td>0.16.0</td></tr><tr><td>matplotlib</td><td>1.4.3</td></tr><tr><td>deltasigma</td><td>0.2.2</td></tr><tr><td colspan='2'>Fri Aug 07 16:23:30 2015 CEST</td></tr></table>"
      ],
      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n",
       "IPython & 3.2.1 \\\\ \\hline\n",
       "OS & Darwin 14.4.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.9.2 \\\\ \\hline\n",
       "scipy & 0.16.0 \\\\ \\hline\n",
       "matplotlib & 1.4.3 \\\\ \\hline\n",
       "deltasigma & 0.2.2 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Fri Aug 07 16:23:30 2015 CEST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n",
       "IPython 3.2.1\n",
       "OS Darwin 14.4.0 x86_64 i386 64bit\n",
       "numpy 1.9.2\n",
       "scipy 0.16.0\n",
       "matplotlib 1.4.3\n",
       "deltasigma 0.2.2\n",
       "Fri Aug 07 16:23:30 2015 CEST"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n",
    "%load_ext version_information\n",
    "%reload_ext version_information\n",
    "\n",
    "%version_information numpy, scipy, matplotlib, deltasigma"
   ]
  }
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